gftool.pole_gf_moments

gftool.pole_gf_moments(poles, weights, order)

High-frequency moments of the pole Green’s function.

Return the moments mom of the expansion \(g(z) = \sum_m mom_m/z^m\) For the pole Green’s function we have the simple relation \(1/(z - ϵ) = \sum_{m=1} ϵ^{m-1}/z^m\).

Parameters:
poles, weights(…, N) float np.ndarray

Position and weight of the poles.

order(…, M) int array_like

Order (degree) of the moments. order needs to be a positive integer.

Returns:
(…, M) float np.ndarray

High-frequency moments.