# triqs.gf.descriptors.SemiCircular¶

class triqs.gf.descriptors.SemiCircular(half_bandwidth, chem_potential=0.0)[source]

Hilbert transform of a semicircular density of states, i.e.

$g(z) = \int \frac{A(\omega)}{z-\omega} d\omega$

where $$A(\omega) = \theta( D - |\omega|) 2 \sqrt{ D^2 - \omega^2}/(\pi D^2)$$.

(Only works in combination with frequency Green’s functions.)

Methods

__init__(half_bandwidth[, chem_potential])
param half_bandwidth:
$$D$$, the half bandwidth of the