K. Vladar, OVERLAP INTEGRAL BETWEEN THE GROUND-STATES OF AN ELECTRON-GAS CORRESPONDING TO 2 POSITIONS OF A SCATTERING POTENTIAL, Progress of theoretical physics, 90(1), 1993, pp. 43-51
The exponent K in the Anderson orthogonality theorem is calculated for
a heavy particle having two sites, when the electron scattering on on
e site involves n partial waves. K is given in closed expressions for
n=1 ... 4. Small and large translations of the scattering center and t
he weak scattering are discussed at arbitrary n. The partial wave 1 ca
nnot contribute by more than l+(1/2) to K.