mirror of
https://github.com/triqs/dft_tools
synced 2024-12-26 14:23:38 +01:00
51 lines
2.1 KiB
ReStructuredText
51 lines
2.1 KiB
ReStructuredText
.. 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
|
|
|