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dft_tools/doc/reference/python/green/block/GfImTime.rst
Olivier Parcollet f2c7d449cc First commit : triqs libs version 1.0 alpha1
for earlier commits, see TRIQS0.x repository.
2013-07-17 19:24:07 +02:00

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.. index::
single: Green's functions; block Green's function
module: gf_imtime
.. _GfImTime:
Matsubara Green's function in imaginary time (GfImTime)
==============================================================================
This object stores a matrix valued Green function in imaginary time
in the Matsubara formalism :
.. math::
G_{\alpha \beta} (\tau) \equiv - \mathcal{T} <c_{\alpha}(\tau) c^{\dagger}_{\beta} (0)> \qquad \text{ for } 0 \leq \tau \leq \beta
Reference
---------------
.. autoclass:: pytriqs.gf.local.GfImTime
:members: set_from_inverse_fourier, set_from_legendre, transpose, conjugate
HDF5 data scheme
^^^^^^^^^^^^^^^^^^^^^^
The GfImTime (TRIQS_HDF5_data_scheme = "GfImTime") is decomposed in the following objects :
========================= =========================== ===========================================================================
Name Type Meaning
========================= =========================== ===========================================================================
Mesh MeshGf The mesh
Tail TailGf The tail
Data 3d numpy of double 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, starting at tau =0
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/python/green/block/green_imtime.py
:include-source:
:scale: 70