Generated documentation for tprf/unstable

jenkins-TRIQS-tprf-unstable-872 fec7ca47d7872727fe17f3734acd0ce8740c0d9c

tprf/unstable/_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/unstable/_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/unstable/_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/unstable/_sources/cpp2rst_generated/triqs_tprf/lindhard_chi00.rst.txt

@@ -129,20 +129,4 @@ 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/unstable/cpp2rst_generated/triqs_tprf/add_dynamic_and_static.html

@@ -725,7 +725,7 @@ <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/unstable/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W.html

@@ -781,7 +781,7 @@ <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/unstable/cpp2rst_generated/triqs_tprf/dynamical_screened_interaction_W_from_generalized_susceptibility.html

@@ -793,7 +793,7 @@ <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/unstable/cpp2rst_generated/triqs_tprf/lindhard_chi00.html

@@ -798,26 +798,7 @@ <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>