gftool.fourier.tt2z_pade

gftool.fourier.tt2z_pade(tt, gf_t, z, degree=-1, pade=<function pade>, quad='trapz', **kwds)[source]

Fourier-Padé transform of the real-time Green’s function gf_t.

The function requires an equidistant tt.

Parameters:

tt(Nt) float np.ndarray: The equidistant points for which the Green’s function gf_t is given.
gf_t(…, Nt) complex np.ndarray: Green’s function at time points tt.
z(…, Nz) complex np.ndarray: Frequency points for which the Laplace transformed Green’s function should be evaluated.

Returns:

(…, Nz) complex np.ndarray: Laplace transformed Green’s function for complex frequencies z.

Other Parameters:

degreeint, optional: Asymptotic degree \(d\) of the Green’s function \(G(z)∼z^d\) for \(abs(z)→∞\) (default: -1).
pade{gftool.hermpade.pade, gftool.hermpade.pader}: Padé algorithm that is used.
quad{‘trapz’, ‘simps’}: Quadrature to discretize the Laplace integral.
**kwds: Optional key-word arguments passed to pade.

Raises: