Generated documentation for tprf/3.2.x

jenkins-TRIQS-tprf-3.2.x-111 b059f45727aa3722a2179e8379d8175d13222cd3

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/add_dynamic_and_static.rst.txt

@@ -51,4 +51,4 @@ Parameters
 Returns
 ^^^^^^^
 
-g_fk : Green's function :math:`G_{ab}(\omega, \mathbf{k}) + G_{ab}(\mathbf{k})`.
+g_wk : Green's function :math:`G_{ab}(i\omega_n, \mathbf{k}) + G_{ab}(\mathbf{k})`.

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W.rst.txt

@@ -107,4 +107,4 @@ Parameters
 Returns
 ^^^^^^^
 
-dynamical screened interaction :math:`W_{abcd}(\omega, \mathbf{k})`
+dynamical screened interaction :math:`W_{abcd}(i\omega_n, \mathbf{k})`

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W_from_generalized_susceptibility.rst.txt

@@ -111,4 +111,4 @@ Parameters
 Returns
 ^^^^^^^
 
-dynamical screened interaction :math:`W_{abcd}(\omega, \mathbf{k})`
+dynamical screened interaction :math:`W_{abcd}(i\omega_n, \mathbf{k})`

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/fourier_Tr_to_Tk.rst.txt

@@ -51,4 +51,4 @@ Parameters
 Returns
 ^^^^^^^
 
-k-space real time Green's function :math:`G_{a\bar{b}c\bar{d}}(t, \mathbf{k})`
+k-space real time Green's function :math:`G_{a\bar{b}}(t, \mathbf{k})`

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/g0w_sigma.rst.txt

@@ -144,4 +144,4 @@ Parameters
 Returns
 ^^^^^^^
 
-real frequency GW self-energy :math:`\Sigma_{ab}(\omega, \mathbf{k})`
+static GW self-energy :math:`\Sigma_{ab}(\mathbf{k})`

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/lindhard_chi00.rst.txt

@@ -133,20 +133,4 @@ Parameters
 Returns
 ^^^^^^^
 
-generalized Lindhard susceptibility in the particle-hole channel :math:`\chi^{(00)}_{\bar{a}b\bar{c}d}(i\omega_n, \mathbf{q})`
-
-    .. math::
-       \sum_{\bar{a}b} U_{i\bar{a}}(\mathbf{k}) \epsilon_{\bar{a}b}(\mathbf{k}) U^\dagger_{bj} (\mathbf{k})
-       = \delta_{ij} \epsilon_{\mathbf{k}, i}
-
-    .. note::
-       The analytic formula is sub-optimal in terms of performance for higher temperatures. The evaluation
-       scales as :math:`\mathcal{O}(N_k^2)` which is worse than computing the bubble explicitly in imaginary
-       time, with scaling :math:`\mathcal{O}(N_k N_\tau \log(N_k N_\tau)` for :math:`N_k \gg N_\tau`.
-
-    .. note::
-       Care must be taken when evaluating the fermionic Matsubara frequency sum of the
-       product of two simple poles. By extending the sum to an integral over the complex
-       plane the standard expression for the Lindhard response is obtained when the
-       poles are non-degenerate. The degenerate case produces an additional frequency independent
-       contribution (the last term on the last row).
+real frequency generalized Lindhard susceptibility in the particle-hole channel :math:`\chi^{(00)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{q})`

tprf/3.2.x/_sources/cpp2rst_generated/triqs_tprf/solve_rpa_PH.rst.txt

@@ -65,4 +65,4 @@ Parameters
 Returns
 ^^^^^^^
 
-RPA suceptibility :math:`\chi_{\bar{a}b\bar{c}d}(\mathbf{k}, i\omega_n)`
+RPA suceptibility :math:`\chi_{\bar{a}b\bar{c}d}(\mathbf{k}, \omega)`

tprf/3.2.x/cpp2rst_generated/triqs_tprf/add_dynamic_and_static.html

@@ -703,7 +703,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>g_fk : Green’s function <span class="math notranslate nohighlight">\(G_{ab}(\omega, \mathbf{k}) + G_{ab}(\mathbf{k})\)</span>.</p>
+<p>g_wk : Green’s function <span class="math notranslate nohighlight">\(G_{ab}(i\omega_n, \mathbf{k}) + G_{ab}(\mathbf{k})\)</span>.</p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W.html

@@ -759,7 +759,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>dynamical screened interaction <span class="math notranslate nohighlight">\(W_{abcd}(\omega, \mathbf{k})\)</span></p>
+<p>dynamical screened interaction <span class="math notranslate nohighlight">\(W_{abcd}(i\omega_n, \mathbf{k})\)</span></p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W_from_generalized_susceptibility.html

@@ -771,7 +771,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>dynamical screened interaction <span class="math notranslate nohighlight">\(W_{abcd}(\omega, \mathbf{k})\)</span></p>
+<p>dynamical screened interaction <span class="math notranslate nohighlight">\(W_{abcd}(i\omega_n, \mathbf{k})\)</span></p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/fourier_Tr_to_Tk.html

@@ -707,7 +707,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>k-space real time Green’s function <span class="math notranslate nohighlight">\(G_{a\bar{b}c\bar{d}}(t, \mathbf{k})\)</span></p>
+<p>k-space real time Green’s function <span class="math notranslate nohighlight">\(G_{a\bar{b}}(t, \mathbf{k})\)</span></p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/g0w_sigma.html

@@ -797,7 +797,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>real frequency GW self-energy <span class="math notranslate nohighlight">\(\Sigma_{ab}(\omega, \mathbf{k})\)</span></p>
+<p>static GW self-energy <span class="math notranslate nohighlight">\(\Sigma_{ab}(\mathbf{k})\)</span></p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/lindhard_chi00.html

@@ -782,26 +782,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>generalized Lindhard susceptibility in the particle-hole channel <span class="math notranslate nohighlight">\(\chi^{(00)}_{\bar{a}b\bar{c}d}(i\omega_n, \mathbf{q})\)</span></p>
-<blockquote>
-<div><div class="math notranslate nohighlight">
-\[\sum_{\bar{a}b} U_{i\bar{a}}(\mathbf{k}) \epsilon_{\bar{a}b}(\mathbf{k}) U^\dagger_{bj} (\mathbf{k})
-= \delta_{ij} \epsilon_{\mathbf{k}, i}\]</div>
-<div class="admonition note">
-<p class="admonition-title">Note</p>
-<p>The analytic formula is sub-optimal in terms of performance for higher temperatures. The evaluation
-scales as <span class="math notranslate nohighlight">\(\mathcal{O}(N_k^2)\)</span> which is worse than computing the bubble explicitly in imaginary
-time, with scaling <span class="math notranslate nohighlight">\(\mathcal{O}(N_k N_\tau \log(N_k N_\tau)\)</span> for <span class="math notranslate nohighlight">\(N_k \gg N_\tau\)</span>.</p>
-</div>
-<div class="admonition note">
-<p class="admonition-title">Note</p>
-<p>Care must be taken when evaluating the fermionic Matsubara frequency sum of the
-product of two simple poles. By extending the sum to an integral over the complex
-plane the standard expression for the Lindhard response is obtained when the
-poles are non-degenerate. The degenerate case produces an additional frequency independent
-contribution (the last term on the last row).</p>
-</div>
-</div></blockquote>
+<p>real frequency generalized Lindhard susceptibility in the particle-hole channel <span class="math notranslate nohighlight">\(\chi^{(00)}_{\bar{a}b\bar{c}d}(\omega, \mathbf{q})\)</span></p>
 </section>
 </section>
 

tprf/3.2.x/cpp2rst_generated/triqs_tprf/solve_rpa_PH.html

@@ -722,7 +722,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>RPA suceptibility <span class="math notranslate nohighlight">\(\chi_{\bar{a}b\bar{c}d}(\mathbf{k}, i\omega_n)\)</span></p>
+<p>RPA suceptibility <span class="math notranslate nohighlight">\(\chi_{\bar{a}b\bar{c}d}(\mathbf{k}, \omega)\)</span></p>
 </section>
 </section>