diff --git a/chap1/chap1.pdf b/chap1/chap1.pdf index 3e60f77..b2f0825 100644 Binary files a/chap1/chap1.pdf and b/chap1/chap1.pdf differ diff --git a/chap1/chap1.tex b/chap1/chap1.tex index 1bad288..1acd830 100644 --- a/chap1/chap1.tex +++ b/chap1/chap1.tex @@ -1,164 +1,7 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) +\usepackage{../mqc} -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -%\allowdisplaybreaks[4] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} \title{\textbf{Modern Quantum Chemistry, Szabo \& Ostlund}\\HW} \author{wsr diff --git a/chap2/chap2.pdf b/chap2/chap2.pdf index 449a25e..2017dc5 100644 Binary files a/chap2/chap2.pdf and b/chap2/chap2.pdf differ diff --git a/chap2/chap2.tex b/chap2/chap2.tex index abad80d..b4f2d7e 100644 --- a/chap2/chap2.tex +++ b/chap2/chap2.tex @@ -1,173 +1,6 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} +\usepackage{../mqc} \title{\textbf{Modern Quantum Chemistry, Szabo \& Ostlund}\\HW} \author{wsr diff --git a/chap3/chap3.pdf b/chap3/chap3.pdf index 26ee719..8fe7f65 100644 Binary files a/chap3/chap3.pdf and b/chap3/chap3.pdf differ diff --git a/chap3/chap3.tex b/chap3/chap3.tex index 298c792..883323f 100644 --- a/chap3/chap3.tex +++ b/chap3/chap3.tex @@ -1,185 +1,7 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) +\usepackage{../mqc} -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} - -%\setmainfont{CMU Serif} -%\setsansfont{CMU Sans Serif} -%\setmonofont{CMU Typewriter Text} - -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} -\usepackage{multirow} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\GF}{\mathrm{GF}} -\DeclareMathOperator{\SF}{\mathrm{SF}} - - - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} \title{\textbf{Modern Quantum Chemistry, Szabo \& Ostlund}\\HW} \author{wsr diff --git a/chap4/chap4.pdf b/chap4/chap4.pdf index 4014811..75789f9 100644 Binary files a/chap4/chap4.pdf and b/chap4/chap4.pdf differ diff --git a/chap4/chap4.tex b/chap4/chap4.tex index 7da5b21..5fc4730 100644 --- a/chap4/chap4.tex +++ b/chap4/chap4.tex @@ -1,187 +1,6 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} - -%\setmainfont{CMU Serif} -%\setsansfont{CMU Sans Serif} -%\setmonofont{CMU Typewriter Text} - -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} -\usepackage{multirow} -\usepackage{booktabs} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\GF}{\mathrm{GF}} -\DeclareMathOperator{\SF}{\mathrm{SF}} -\DeclareMathOperator{\corr}{\mathrm{corr}} -\DeclareMathOperator{\gvb}{\mathrm{GVB}} - - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} +\usepackage{../mqc} \title{\textbf{Modern Quantum Chemistry, Szabo \& Ostlund}\\HW} \author{wsr diff --git a/chap5/chap5.pdf b/chap5/chap5.pdf index 37ef238..3a65481 100644 Binary files a/chap5/chap5.pdf and b/chap5/chap5.pdf differ diff --git a/chap5/chap5.tex b/chap5/chap5.tex index e52480d..4e79586 100644 --- a/chap5/chap5.tex +++ b/chap5/chap5.tex @@ -1,187 +1,6 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} - -\setmainfont{CMU Serif} -\setsansfont{CMU Sans Serif} -\setmonofont{CMU Typewriter Text} - -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} -\usepackage{multirow} -\usepackage{booktabs} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\GF}{\mathrm{GF}} -\DeclareMathOperator{\SF}{\mathrm{SF}} -\DeclareMathOperator{\corr}{\mathrm{corr}} -\DeclareMathOperator{\gvb}{\mathrm{GVB}} -\DeclareMathOperator{\eff}{\mathrm{eff}} - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} +\usepackage{../mqc} \title{\textbf{Modern Quantum Chemistry, Szabo \& Ostlund}\\HW} \author{wsr diff --git a/chap6/chap6.pdf b/chap6/chap6.pdf index 18c6b51..c08a94c 100644 Binary files a/chap6/chap6.pdf and b/chap6/chap6.pdf differ diff --git a/chap6/chap6.tex b/chap6/chap6.tex index 148e3df..7e2b933 100644 --- a/chap6/chap6.tex +++ b/chap6/chap6.tex @@ -1,171 +1,6 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} -%\usepackage{physymb} - -%\setmainfont{CMU Serif} -%\setsansfont{CMU Sans Serif} -%\setmonofont{CMU Typewriter Text} - -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} -\usepackage{multirow} -\usepackage{booktabs} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\GF}{\mathrm{GF}} -\DeclareMathOperator{\SF}{\mathrm{SF}} -\DeclareMathOperator{\corr}{\mathrm{corr}} -\DeclareMathOperator{\gvb}{\mathrm{GVB}} +\usepackage{../mqc} % TikZFeynman \newcommand{\qr}{quarter right} @@ -174,22 +9,6 @@ \newcommand{\hfl}{half left} \newcommand{\el}{edge label} -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} - %\usepackage{tikz} %\usepackage[european]{circuitikz} \usepackage{tikz-feynman} diff --git a/chap7/chap7.pdf b/chap7/chap7.pdf index c3f713e..4433fa9 100644 Binary files a/chap7/chap7.pdf and b/chap7/chap7.pdf differ diff --git a/chap7/chap7.tex b/chap7/chap7.tex index a5d54b2..45efbed 100644 --- a/chap7/chap7.tex +++ b/chap7/chap7.tex @@ -1,188 +1,6 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -\geometry{margin=1in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{amsfonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{fontspec} -%\usepackage{physymb} - -%\setmainfont{CMU Serif} -%\setsansfont{CMU Sans Serif} -%\setmonofont{CMU Typewriter Text} - -\usepackage{braket} -\usepackage{siunitx} -\sisetup{ - separate-uncertainty = true, - inter-unit-product = \ensuremath{{}\cdot{}} -} -\usepackage{mhchem} -\usepackage{multirow} -\usepackage{booktabs} - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -\DeclareMathOperator{\intzpi}{\int_0^\pi} -\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} -\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} -\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} -\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} -\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\Leftrightarrow} -\DeclareMathOperator{\dra}{\Rightarrow} -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - - - -\DeclareMathOperator{\hV}{\hat{\vb{V}}} - -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\hy}{\hat{\vb{y}}} -\DeclareMathOperator{\hz}{\hat{\vb{z}}} - -\DeclareMathOperator{\hA}{\hat{\vb{A}}} - -\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} -\DeclareMathOperator{\hI}{\hat{\vb{I}}} -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} - -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hC}{\hat{\vb{C}}} -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} -\DeclareMathOperator{\vna}{\vnabla} -\DeclareMathOperator{\nna}{\nabla^2} -\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} -\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} - -%\DeclareMathOperator{\g#0}{\gamma^0} -%\DeclareMathOperator{\g1}{\gamma^1} -%\DeclareMathOperator{\g2}{\gamma^2} -%\DeclareMathOperator{\g3}{\gamma^3} -%\DeclareMathOperator{\g5}{\gamma^5} -\newcommand{\g}[1]{\gamma^{#1}} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\newcommand{\G}[2]{g^{#1#2}} - - -%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\GF}{\mathrm{GF}} -\DeclareMathOperator{\SF}{\mathrm{SF}} -\DeclareMathOperator{\corr}{\mathrm{corr}} -\DeclareMathOperator{\gvb}{\mathrm{GVB}} - - -\newcommand{\subsbul}{\subsection*{$ \bullet $}} -\newcommand{\ex}[1]{\paragraph{Ex #1}} -\newcommand{\subex}[1]{\subparagraph{#1}} -\newcommand{\dis}{\displaystyle} - - -\numberwithin{equation}{subsection} -%\setcounter{secnumdepth}{4} -\setcounter{tocdepth}{4} -\allowdisplaybreaks[1] - -\usepackage{xcolor} -\definecolor{codegray}{gray}{0.9} -\newfontfamily\Consolas{Consolas} -\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} +\usepackage{../mqc} %\usepackage{tikz} %\usepackage[european]{circuitikz} diff --git a/mqc.sty b/mqc.sty new file mode 100644 index 0000000..880093e --- /dev/null +++ b/mqc.sty @@ -0,0 +1,173 @@ +\usepackage{xeCJK} +%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) + +%%% Examples of Article customizations +% These packages are optional, depending whether you want the features they provide. +% See the LaTeX Companion or other references for full information. + +%%% PAGE DIMENSIONS +\usepackage{geometry} % to change the page dimensions +\geometry{a4paper} % or letterpaper (US) or a5paper or.... +\geometry{margin=1in} % for example, change the margins to 2 inches all round +% \geometry{landscape} % set up the page for landscape +% read geometry.pdf for detailed page layout information + +\usepackage{graphicx} % support the \includegraphics command and options + +% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent + +%%% PACKAGES +\usepackage{booktabs} % for much better looking tables +\usepackage{array} % for better arrays (eg matrices) in maths +\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) +\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim +\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float +% These packages are all incorporated in the memoir class to one degree or another... + +%%% HEADERS & FOOTERS +\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry +\pagestyle{fancy} % options: empty , plain , fancy +\renewcommand{\headrulewidth}{0pt} % customise the layout... +\lhead{}\chead{}\rhead{} +\lfoot{}\cfoot{\thepage}\rfoot{} + +%%% SECTION TITLE APPEARANCE +\usepackage{sectsty} +%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) +% (This matches ConTeXt defaults) + +%%% ToC (table of contents) APPEARANCE +\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC +\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents +%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} +%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! + +%%% END Article customizations + +%%% The "real" document content comes below... + +\setlength{\parindent}{0pt} +\usepackage{physics} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{bm} +%\usepackage{eucal} +\usepackage{mathrsfs} +\usepackage{amssymb} +\usepackage{float} +\usepackage{multicol} +\usepackage{abstract} +\usepackage{empheq} +\usepackage{extarrows} +\usepackage{textcomp} +\usepackage{fontspec} +%\usepackage{physymb} + +%\setmainfont{CMU Serif} +%\setsansfont{CMU Sans Serif} +%\setmonofont{CMU Typewriter Text} + +\usepackage{braket} +\usepackage{siunitx} +\sisetup{ + separate-uncertainty = true, + inter-unit-product = \ensuremath{{}\cdot{}} +} +\usepackage{mhchem} +\usepackage{multirow} +\usepackage{booktabs} + +\DeclareMathOperator{\p}{\prime} +\DeclareMathOperator{\ti}{\times} +\DeclareMathOperator{\intinf}{\int_0^\infty} +\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} +\DeclareMathOperator{\intzpi}{\int_0^\pi} +\DeclareMathOperator{\intztpi}{\int_0^{2\pi}} +\DeclareMathOperator{\sumninf}{\sum_{n=1}^{\infty}} +\DeclareMathOperator{\sumninfz}{\sum_{n=0}^\infty} +\DeclareMathOperator{\sumiinf}{\sum_{i=1}^{\infty}} +\DeclareMathOperator{\sumiinfz}{\sum_{i=0}^\infty} +\DeclareMathOperator{\sumkinf}{\sum_{k=1}^{\infty}} +\DeclareMathOperator{\sumkinfz}{\sum_{k=0}^\infty} +\DeclareMathOperator{\e}{\mathrm{e}} +\DeclareMathOperator{\I}{\mathrm{i}} +\DeclareMathOperator{\Arg}{\mathrm{Arg}} +\DeclareMathOperator{\ra}{\rightarrow} +\DeclareMathOperator{\llra}{\longleftrightarrow} +\DeclareMathOperator{\lra}{\longrightarrow} +\DeclareMathOperator{\dlra}{\Leftrightarrow} +\DeclareMathOperator{\dra}{\Rightarrow} +\newcommand{\bkk}[1]{\Braket{#1|#1}} +\newcommand{\bk}[2]{\Braket{#1|#2}} +\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} + + + +\DeclareMathOperator{\hV}{\hat{\vb{V}}} + +\DeclareMathOperator{\hx}{\hat{\vb{x}}} +\DeclareMathOperator{\hy}{\hat{\vb{y}}} +\DeclareMathOperator{\hz}{\hat{\vb{z}}} + +\DeclareMathOperator{\hA}{\hat{\vb{A}}} + +\DeclareMathOperator{\hQ}{\hat{\vb{Q}}} +\DeclareMathOperator{\hI}{\hat{\vb{I}}} +\DeclareMathOperator{\psis}{\psi^\ast} +\DeclareMathOperator{\Psis}{\Psi^\ast} +\DeclareMathOperator{\hi}{\hat{\vb{i}}} +\DeclareMathOperator{\hj}{\hat{\vb{j}}} +\DeclareMathOperator{\hk}{\hat{\vb{k}}} +\DeclareMathOperator{\hr}{\hat{\vb{r}}} +\DeclareMathOperator{\hT}{\hat{\vb{T}}} +\DeclareMathOperator{\hH}{\hat{H}} +\DeclareMathOperator{\hh}{\hat{h}} % helicity +\DeclareMathOperator{\hL}{\hat{\vb{L}}} +\DeclareMathOperator{\hp}{\hat{\vb{p}}} + +\DeclareMathOperator{\ha}{\hat{\vb{a}}} +\DeclareMathOperator{\hs}{\hat{\vb{s}}} +\DeclareMathOperator{\hS}{\hat{\vb{S}}} +\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} +\DeclareMathOperator{\hJ}{\hat{\vb{J}}} +\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity +\DeclareMathOperator{\hC}{\hat{\vb{C}}} +\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} +\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} +\DeclareMathOperator{\vna}{\vnabla} +\DeclareMathOperator{\nna}{\nabla^2} +\newcommand{\naCarExpd}[1]{\pdv[2]{#1}{x} + \pdv[2]{#1}{y} + \pdv[2]{#1}{z}} +\newcommand{\naCyl}{\qty[\dfrac{1}{\rho}\pdv{\rho}\qty(\rho\pdv{\rho}) + \dfrac{1}{\rho^2}\pdv[2]{\phi} + \pdv[2]{z}]} + + +%% MQC +\DeclareMathOperator{\sH}{\mathscr{H}} +\DeclareMathOperator{\sA}{\mathscr{A}} +\newcommand{\iden}{{\large \bm{1}}} +\newcommand{\qed}{$ \Square $} +\newcommand{\tPhi}{\tilde{\Phi} } +\newcommand{\hsP}{\hat{\mathscr{P}}} +\newcommand{\hsS}{\hat{\mathscr{S}}} +\DeclareMathOperator{\core}{\mathrm{core}} +\DeclareMathOperator{\GF}{\mathrm{GF}} +\DeclareMathOperator{\SF}{\mathrm{SF}} +\DeclareMathOperator{\corr}{\mathrm{corr}} +\DeclareMathOperator{\gvb}{\mathrm{GVB}} +\DeclareMathOperator{\eff}{\mathrm{eff}} + + +\newcommand{\subsbul}{\subsection*{$ \bullet $}} +\newcommand{\ex}[1]{\paragraph{Ex #1}} +\newcommand{\subex}[1]{\subparagraph{#1}} +\newcommand{\dis}{\displaystyle} + + +\numberwithin{equation}{subsection} +%\setcounter{secnumdepth}{4} +\setcounter{tocdepth}{4} +\allowdisplaybreaks[1] + +\usepackage{xcolor} +\definecolor{codegray}{gray}{0.9} +\newfontfamily\Consolas{Consolas} +\newcommand{\code}[1]{\colorbox{codegray}{{\Consolas#1}}} diff --git a/notes/notes_S&O.pdf b/notes/notes_S&O.pdf index 63fa8de..873050d 100644 Binary files a/notes/notes_S&O.pdf and b/notes/notes_S&O.pdf differ diff --git a/notes/notes_S&O.tex b/notes/notes_S&O.tex index 1a9e86d..55fab92 100644 --- a/notes/notes_S&O.tex +++ b/notes/notes_S&O.tex @@ -1,182 +1,8 @@ %\documentclass[UTF8]{ctexart} % use larger type; default would be 10pt \documentclass[a4paper]{article} -\usepackage{xeCJK} -%\usepackage{ctex} -%\usepackage{luatexja-fontspec} -%\setmainjfont{FandolSong} -%\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX) - -%%% Examples of Article customizations -% These packages are optional, depending whether you want the features they provide. -% See the LaTeX Companion or other references for full information. - -%%% PAGE DIMENSIONS -\usepackage{geometry} % to change the page dimensions -\geometry{a4paper} % or letterpaper (US) or a5paper or.... -% \geometry{margin=2in} % for example, change the margins to 2 inches all round -% \geometry{landscape} % set up the page for landscape -% read geometry.pdf for detailed page layout information - -\usepackage{graphicx} % support the \includegraphics command and options - -% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent - -%%% PACKAGES -\usepackage{booktabs} % for much better looking tables -\usepackage{array} % for better arrays (eg matrices) in maths -\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.) -\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim -\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float -% These packages are all incorporated in the memoir class to one degree or another... - -%%% HEADERS & FOOTERS -\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry -\pagestyle{fancy} % options: empty , plain , fancy -\renewcommand{\headrulewidth}{0pt} % customise the layout... -\lhead{}\chead{}\rhead{} -\lfoot{}\cfoot{\thepage}\rfoot{} - -%%% SECTION TITLE APPEARANCE -\usepackage{sectsty} -%\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help) -% (This matches ConTeXt defaults) - -%%% ToC (table of contents) APPEARANCE -\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC -\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents -%\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape} -%\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold! - -%%% END Article customizations - -%%% The "real" document content comes below... - -\setlength{\parindent}{0pt} -\usepackage{physics} -\usepackage{amsmath} -%\usepackage{symbols} -\usepackage{AMSFonts} -\usepackage{bm} -%\usepackage{eucal} -\usepackage{mathrsfs} -\usepackage{amssymb} -\usepackage{float} -\usepackage{multicol} -\usepackage{abstract} -\usepackage{empheq} -\usepackage{extarrows} -\usepackage{textcomp} -\usepackage{mhchem} -\usepackage{braket} -\usepackage{siunitx} -\usepackage[utf8]{inputenc} -\usepackage{tikz-feynman} -\usepackage{feynmp} -\usepackage{fontspec} -%\sffamily -\setmainfont{CMU Serif} -\setsansfont{CMU Sans Serif} -\setmonofont{CMU Typewriter Text} - - - - -\DeclareMathOperator{\p}{\prime} -\DeclareMathOperator{\ti}{\times} - -\DeclareMathOperator{\e}{\mathrm{e}} -\DeclareMathOperator{\I}{\mathrm{i}} -\DeclareMathOperator{\Arg}{\mathrm{Arg}} -\newcommand{\NA}{N_\mathrm{A}} -\newcommand{\kB}{k_\mathrm{B}} - -\DeclareMathOperator{\ra}{\rightarrow} -\DeclareMathOperator{\llra}{\longleftrightarrow} -\DeclareMathOperator{\lra}{\longrightarrow} -\DeclareMathOperator{\dlra}{\;\Leftrightarrow\;} -\DeclareMathOperator{\dra}{\;\Rightarrow\;} - -%%%%%%%%%%%% QUANTUM MECHANICS %%%%%%%%%%%%%%%%%%%%%%%% -\newcommand{\bkk}[1]{\Braket{#1|#1}} -\newcommand{\bk}[2]{\Braket{#1|#2}} -\newcommand{\bkev}[2]{\Braket{#2|#1|#2}} - -\DeclareMathOperator{\na}{\bm{\nabla}} -\DeclareMathOperator{\nna}{\nabla^2} -\DeclareMathOperator{\drrr}{\dd[3]\vb{r}} - -\DeclareMathOperator{\psis}{\psi^\ast} -\DeclareMathOperator{\Psis}{\Psi^\ast} -\DeclareMathOperator{\hi}{\hat{\vb{i}}} -\DeclareMathOperator{\hj}{\hat{\vb{j}}} -\DeclareMathOperator{\hk}{\hat{\vb{k}}} -\DeclareMathOperator{\hr}{\hat{\vb{r}}} -\DeclareMathOperator{\hT}{\hat{\vb{T}}} -\DeclareMathOperator{\hH}{\hat{H}} - -\DeclareMathOperator{\hL}{\hat{\vb{L}}} -\DeclareMathOperator{\hp}{\hat{\vb{p}}} -\DeclareMathOperator{\hx}{\hat{\vb{x}}} -\DeclareMathOperator{\ha}{\hat{\vb{a}}} -\DeclareMathOperator{\hs}{\hat{\vb{s}}} -\DeclareMathOperator{\hS}{\hat{\vb{S}}} -\DeclareMathOperator{\hSigma}{\hat{\bm\Sigma}} -\DeclareMathOperator{\hJ}{\hat{\vb{J}}} - -\DeclareMathOperator{\Tdv}{-\dfrac{\hbar^2}{2m}\dv[2]{x}} -\DeclareMathOperator{\Tna}{-\dfrac{\hbar^2}{2m}\nabla^2} - -%\DeclareMathOperator{\s}{\sum_{n=1}^{\infty}} -\DeclareMathOperator{\intinf}{\int_0^\infty} -\DeclareMathOperator{\intdinf}{\int_{-\infty}^\infty} -%\DeclareMathOperator{\suminf}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumnzinf}{\sum_{n=0}^\infty} -\DeclareMathOperator{\sumnoinf}{\sum_{n=1}^\infty} -\DeclareMathOperator{\sumndinf}{\sum_{n=-\infty}^\infty} -\DeclareMathOperator{\sumizinf}{\sum_{i=0}^\infty} - -%%%%%%%%%%%%%%%%% PARTICLE PHYSICS %%%%%%%%%%%%%%%% -\DeclareMathOperator{\hh}{\hat{h}} % helicity -\DeclareMathOperator{\hP}{\hat{\vb{P}}} % Parity -\DeclareMathOperator{\hU}{\hat{U}} -\DeclareMathOperator{\hG}{\hat{G}} - -\DeclareMathOperator{\GeV}{\si{GeV}} -\DeclareMathOperator{\LI}{\mathscr{L}.I.} -%\DeclareMathOperator{\g5}{\gamma^5} -\DeclareMathOperator{\gmuu}{\gamma^\mu} -\DeclareMathOperator{\gmud}{\gamma_\mu} -\DeclareMathOperator{\gnuu}{\gamma^\nu} -\DeclareMathOperator{\gnud}{\gamma_\nu} - -\renewcommand{\u}{\mathrm{u}} -\renewcommand{\d}{\mathrm{d}} -\DeclareMathOperator{\s}{\mathrm{s}} - -\DeclareMathOperator{\q}{\mathrm{q}} -\DeclareMathOperator{\bq}{\bar{\mathrm{q}}} - -\DeclareMathOperator{\g}{\mathrm{g}} -\DeclareMathOperator{\W}{\mathrm{W}} -\DeclareMathOperator{\Z}{\mathrm{Z}} - -%%% Feynman Diagram -\newcommand{\pa}{particle} -\newcommand{\mo}{momentum} -\newcommand{\el}{edge label} - -%%% MQC -\DeclareMathOperator{\sH}{\mathscr{H}} -\DeclareMathOperator{\sA}{\mathscr{A}} -\newcommand{\iden}{{\large \bm{1}}} -\newcommand{\qed}{$ \Square $} -\newcommand{\tPhi}{\tilde{\Phi} } -\newcommand{\hsP}{\hat{\mathscr{P}}} -\newcommand{\hsS}{\hat{\mathscr{S}}} -\DeclareMathOperator{\core}{\mathrm{core}} -\DeclareMathOperator{\corr}{\mathrm{corr}} - -\newcommand{\dis}{\displaystyle} +\usepackage{../mqc} + + \numberwithin{equation}{section} \title{Notes of \textbf{Modern Quantum Chemistry, Szabo \& Ostlund}}