For stationary Schrödinger equation in $\mathbb{R}^n$
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.
Publié le : 2001-05-14
Classification:
35J10,
35Q40,
35Q51,
35Q55
@article{1050266894,
author = {Zasorin, Yuriy Valentinovich},
title = {On the method of pseudopotential for Schr\"odinger
equation with nonlocal boundary conditions},
journal = {Abstr. Appl. Anal.},
volume = {6},
number = {1},
year = {2001},
pages = { 329-338},
language = {en},
url = {http://dml.mathdoc.fr/item/1050266894}
}
Zasorin, Yuriy Valentinovich. On the method of pseudopotential for Schrödinger
equation with nonlocal boundary conditions. Abstr. Appl. Anal., Tome 6 (2001) no. 1, pp. 329-338. http://gdmltest.u-ga.fr/item/1050266894/