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A first general restructuration of the doc according to the pattern [tour|tutorial|reference]. In the reference part, objects are documented per topic. In each topic, [definition|c++|python|hdf5] (not yet implemented)
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26 lines
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Manipulating local Green's functions
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Let us start with a problem of free electrons: an impurity `d`
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level embedded in a flat conduction bath :math:`\Delta` of `s`-electrons.
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To construct and plot the corresponding 2x2 Green's function:
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.. math::
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\hat{G}^\mathrm{s+d} ( \omega) = \begin{pmatrix} \omega - \epsilon_d & V \\ V & \Delta^{-1} \end{pmatrix}^{-1}
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we first create the corresponding energy
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mesh on the real axis in the energy interval :math:`\omega \in (-2:2]`.
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The Green's function is generated using classes of the ``gf.local`` module by setting up
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:math:`\left[\hat{G}^\mathrm{s+d}\right]^{-1}` and inverting it.
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Finally, the obtained bath and impurity densities of states are plotted using the TRIQS function ``oplot``:
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.. plot:: reference/gfs/py/impinbath.py
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:include-source:
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:scale: 70
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You will find more information on the local Green's function implementation in TRIQS in :doc:`the corresponding chapter of the manual <../../reference/gfs/py/green>`
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