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https://github.com/triqs/dft_tools
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51 lines
2.1 KiB
ReStructuredText
51 lines
2.1 KiB
ReStructuredText
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.. index::
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single: Green's functions; block Green's function
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module: gf_imtime
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.. _GfImTime:
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Matsubara Green's function in imaginary time (GfImTime)
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==============================================================================
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This object stores a matrix valued Green function in imaginary time
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in the Matsubara formalism :
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.. math::
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G_{\alpha \beta} (\tau) \equiv - \mathcal{T} <c_{\alpha}(\tau) c^{\dagger}_{\beta} (0)> \qquad \text{ for } 0 \leq \tau \leq \beta
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Reference
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---------------
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.. autoclass:: pytriqs.gf.local.GfImTime
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:members: set_from_inverse_fourier, set_from_legendre, transpose, conjugate
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HDF5 data scheme
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^^^^^^^^^^^^^^^^^^^^^^
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The GfImTime (TRIQS_HDF5_data_scheme = "GfImTime") is decomposed in the following objects :
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========================= =========================== ===========================================================================
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Name Type Meaning
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========================= =========================== ===========================================================================
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Mesh MeshGf The mesh
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Tail TailGf The tail
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Data 3d numpy of double Data[i1,i2,n] is the element of the Green function where :
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* i1, i2 are the indices
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* n is the index of the time slice, starting at tau =0
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IndicesL,IndicesR string The Python repr of the indices, e.g. (1,2), or (1,)
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repr(this_string) reproduces the indices
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Name string Name of the Green function block
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Note string Note
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========================= =========================== ===========================================================================
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Example
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-------
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.. plot:: reference/python/green/block/green_imtime.py
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:include-source:
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:scale: 70
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