Single-particle Green’s functions of the Calogero-Sutherland model at couplings λ=1/2, 1, and 2
Single-particle Green’s functions of the Calogero-Sutherland model at couplings λ=1/2, 1, and 2
At coupling strengths \ensuremath{\lambda}=1/2, 1, or 2, the Calogero-Sutherland model (CSM) is related to Brownian motion in a Wigner-Dyson random matrix ensemble with orthogonal, unitary, or symplectic symmetry. Using this relation in conjunction with superanalytic techniques developed in mesoscopic conductor physics, we derive an exact integral representation for the CSM …