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https://github.com/triqs/dft_tools
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63 lines
2.4 KiB
ReStructuredText
63 lines
2.4 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_refreq
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.. _GfReFreq:
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Retarded Green's function in real frequencies (GfReFreq)
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=====================================================================================
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This object stores a matrix valued Green function in real frequencies :
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.. math::
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G_{\alpha \beta} (\omega) \equiv \int_{-\infty}^{\infty} G_{\alpha \beta} ( t ) e^{-i \omega t}
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where :math:`G(t)` is the :ref:`Green function in real time <GfReTime>`.
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Reference
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---------------
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.. autoclass:: pytriqs.gf.local.GfReFreq
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:members: set_from_fourier, inverse_fourier, transpose, conjugate, set_from_pade
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HDF5 data scheme
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^^^^^^^^^^^^^^^^^^^^^^
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The GfReFreq (TRIQS_HDF5_data_scheme = "GfReFreq") 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 complex 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 frequency index
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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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Examples
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---------------
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.. plot:: reference/python/green/block/green_refreq.py
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:include-source:
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:scale: 70
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Note that `g` is a **retarded** Green's function.
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The next example demonstrates how a real frequency Green's function can be
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reconstructed from an imaginary frequency counterpart using set_from_pade()
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method.
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.. plot:: reference/python/green/block/green_pade.py
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:include-source:
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:scale: 70
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