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30 lines
681 B
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30 lines
681 B
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.. _hilbert_transform:
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.. module:: pytriqs.dos.hilbert_transform
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Hilbert Transform
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=======================================
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TRIQS comes with a Hilbert transform. Let us look at an example:
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.. literalinclude:: ex_Hilbert.py
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Given a density of states `d` (here for a tight-binding model), the Hilbert transform `H` is defined is defined in the following way::
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H = HilbertTransform(d)
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To construct a Green's function::
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G = GfImFreq(indices = ['up','down'], beta = 20)
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Sigma0 = GfImFreq(indices = ['up','down'], beta = 20); Sigma0.zero()
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G <<= H(Sigma = Sigma0, mu=0.)
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.. autoclass:: pytriqs.dos.HilbertTransform
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:members: __call__
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:undoc-members:
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