Abstract and Applied Analysis
Volume 6 (2001), Issue 6, Pages 329-338
doi:10.1155/S1085337501000689

On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions

Abstract

For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.