.. index::
  single: Green's functions; block Green's function
  module: gf_retime

.. _GfReTime:

Retarded Green's function in real time (GfReTime)
=====================================================================================

This object stores a retarded matrix valued Green function in real time: 

.. math::
  G_{\alpha \beta} (t) \equiv - \theta(t) <\{c_{\alpha}(t) c^{\dagger}_{\beta} (0)\}> 


Reference
---------------

.. autoclass:: pytriqs.gf.local.GfReTime
  :members: set_from_inverse_fourier, fourier, transpose, conjugate
 

HDF5 data scheme
^^^^^^^^^^^^^^^^^^^^^^

The GfReTime (TRIQS_HDF5_data_scheme = "GfReTime") is decomposed in the following objects: 

=========================   ===========================  ===========================================================================
Name                        Type                         Meaning
=========================   ===========================  ===========================================================================
Mesh                        MeshGf                       The mesh
Tail                        TailGf                       The tail
Data                        3d numpy of complex          Data[i1,i2,n] is the element of the Green function where :
                                                          * i1, i2 are the indices
                                                          * n is the index of the time slice
IndicesL,IndicesR           string                       The Python repr of the indices, e.g. (1,2), or (1,)
                                                         repr(this_string) reproduces the indices 
Name                        string                       Name of the Green function block
Note                        string                       Note 
=========================   ===========================  ===========================================================================


Example 
---------------

.. plot:: reference/gfs/py/block/green_retime.py
   :include-source:
   :scale: 70