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dft_tools/doc/reference/c++/gf/gf_imfreq.rst
2013-10-22 21:29:40 +02:00

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.. highlight:: c
.. _gf_imfreq:
gf<imfreq>
==========================================================
This is a specialisation of :ref:`gf_and_view` for imaginary Matsubara frequencies.
Domain & mesh
----------------
Singularity
-------------
:ref:`gf_tail`.
Interpolation method
---------------------
None
Data storage
---------------
* `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 : `ImFreq`
Examples
---------
.. compileblock::
#include <triqs/gfs.hpp>
using namespace triqs::gfs; using triqs::clef::placeholder;
int main(){
double beta=10;
int Nfreq =100;
// First give information to build the mesh, second to build the target
auto GF1 = gf<imfreq> { {beta,Fermion,Nfreq}, {1,1} };
// or a more verbose/explicit form ...
auto GF2 = gf<imfreq> { gf_mesh<imfreq>{beta,Fermion,Nfreq}, make_shape(1,1) };
// Filling the gf with something...
placeholder<0> wn_;
GF1(wn_) << 1/ (wn_ + 2);
// evaluation at n=3
std::cout << GF1(3) << " == "<< 1/ ( 1_j * std::acos(-1) / beta * (2*3+1) + 2) << std::endl;
// the high frequency expansion was automatically computed.
std::cout << GF1.singularity() << std::endl;
}