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
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.
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.