GREEN'S FUNCTION FOR A PIECEWISE CONTINUOUS POTENTIAL VIA INTEGRAL EQUATIONS METHOD

The aim of this work is to provide Green's function for the Schrodinger equation. The potential part in the Hamiltonian is piecewise continuous operator. It is a zero operator on a disk of radius a and a constant V-0 outside this disk (in two dimensions). We have used, to construct the Green's function, the technique of the integral equations. We have respected the boundary conditions of the problem. The discrete spectra of the Hamiltonian operator have been also derived.