The third exactly solvable hypergeometric quantum-mechanical potential; EPL (Europhysics Letters); Vol. 115, № 2

The third exactly solvable hypergeometric quantum-mechanical potential; EPL (Europhysics Letters); Vol. 115, № 2

Bibliographic Details
Parent link:EPL (Europhysics Letters): Scientific Journal.— , 1986-
Vol. 115, № 2.— 2016.— [20002, 5 р.]
Main Author: Ishkhanyan A. Artur
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра общей физики (ОФ)
Summary:Title screen
We introduce the third independent exactly solvable hypergeometric potential, after the Eckart and the P¨oschl-Teller potentials, which is proportional to an energy-independent parameter and has a shape that is independent of this parameter. The general solution of the Schr¨odinger equation for this potential is written through fundamental solutions each of which presents an irreducible combination of two Gauss hypergeometric functions. The potential is an asymmetric step-barrier with variable height and steepness. Discussing the transmission above such a barrier, we derive a compact formula for the reflection coefficient.
Language:English
Published: 2016
Subjects:
электронный ресурс
труды учёных ТПУ
гипергеометрические системы
уравнение Шредингера
фундаментальные решения
функции Гаусса
коэффициент
Online Access:http://dx.doi.org/10.1209/0295-5075/115/20002
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653894

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