A new exactly integrable hypergeometric potential for the Schroodinger equation

Bibliographic Details
Parent link:AIP Advances
Vol. 8, iss. 3.— 2018.— [035309, 8 р.]
Corporate Author: Национальный исследовательский Томский политехнический университет Инженерная школа ядерных технологий Отделение экспериментальной физики
Other Authors: Ishkhanyan T. A. Tigran Arturovich, Manukyan V. A., Arutyunyan A. H., Ishkhanyan A. Artur
Summary:Title screen
We introduce a new exactly integrable potential for the Schrodinger equation for which the solution of the problem may be expressed in terms of the Gauss hypergeometric functions. This is a potential step with variable height and steepness. We present the general solution of the problem, discuss the transmission of a quantum particle above the barrier, and derive explicit expressions for the reflection and transmission coefficients.
Режим доступа: по договору с организацией-держателем ресурса
Published: 2018
Subjects:
Online Access:https://doi.org/10.1063/1.5022086
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665950