Abstract and Applied Analysis
Volume 6 (2001), Issue 6, Pages 329-338

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

Yuriy Valentinovich Zasorin

Zasorin: Research Institute of Mathematics, Voronezh State University, 1, University sq., Voronezh 394693, Russia

Received 7 July 2001

Copyright © 2001 Yuriy Valentinovich Zasorin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For stationary Schrödinger equation in 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.