mirror of
https://github.com/triqs/dft_tools
synced 2024-12-26 14:23:38 +01:00
bdac3e159c
- little details : code cleaning, clang formatting, along with documentation writing for c++ gf. - separated the mesh in small class for better doc. - work on documentation : reorganize specialisation, ...
97 lines
2.3 KiB
ReStructuredText
97 lines
2.3 KiB
ReStructuredText
.. highlight:: c
|
|
|
|
.. _gf_retime:
|
|
|
|
Real time
|
|
===================================================
|
|
|
|
This is a specialisation of :ref:`gf_and_view` for imaginary Matsubara frequencies.
|
|
|
|
|
|
|
|
Synopsis
|
|
------------
|
|
|
|
.. code::
|
|
|
|
gf<retime, Target, Opt>
|
|
|
|
The *Target* template parameter can take the following values :
|
|
|
|
+-------------------------+-----------------------------------------------------+
|
|
| Target | Meaning |
|
|
+=========================+=====================================================+
|
|
| scalar_valued | The function is scalar valued (double, complex...). |
|
|
+-------------------------+-----------------------------------------------------+
|
|
| matrix_valued [default] | The function is matrix valued. |
|
|
+-------------------------+-----------------------------------------------------+
|
|
|
|
Domain & mesh
|
|
----------------
|
|
|
|
CORRECT THIS !! PUT OUT THE C++ impl for doxy doc
|
|
|
|
The domain is :doxy:`matsubara_freq_domain<triqs::gfs::matsubara_domain>`.
|
|
|
|
The mesh is :doxy:`matsubara_freq_mesh<triqs::gfs::matsubara_freq_mesh>`.
|
|
|
|
|
|
Singularity
|
|
-------------
|
|
|
|
The singularity is a high frequency expansion, :ref:`gf_tail`.
|
|
|
|
|
|
Evaluation method
|
|
---------------------
|
|
|
|
* Linear interpolation on the mesh.
|
|
|
|
* Return type :
|
|
|
|
* If Target==scalar_valued : a complex
|
|
* If Target==matrix_valued : an object modeling ImmutableMatrix concept.
|
|
|
|
* When the point is outside of the mesh, the evaluation of the gf returns :
|
|
|
|
* the evaluation of the high frequency tail if no_tail is not set.
|
|
* 0 otherwise
|
|
|
|
|
|
Data storage
|
|
---------------
|
|
|
|
* If Target==scalar_valued :
|
|
|
|
* `data_t` : 1d array of complex<double>.
|
|
|
|
* g.data()(i) is the value of g for the i-th point of the mesh.
|
|
|
|
* If Target==matrix_valued :
|
|
|
|
* `data_t` : 3d array (C ordered) of complex<double>.
|
|
|
|
* g.data()(i, range(), range()) is the value of g for the i-th point of the mesh.
|
|
|
|
HDF5 storage convention
|
|
---------------------------
|
|
|
|
h5 tag : `ReTime`
|
|
|
|
Examples
|
|
---------
|
|
|
|
.. compileblock::
|
|
|
|
#include <triqs/gfs.hpp>
|
|
using namespace triqs::gfs;
|
|
|
|
int main() {
|
|
double tmin=0, tmax=10; // the time interval
|
|
auto n_times=100; // we will have 100 points
|
|
|
|
//we want a 2x2 matrix-valued Green function
|
|
auto g=gf<retime>{ {tmin, tmax, n_times} , {2,2} };
|
|
};
|
|
|