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

書誌詳細
Parent link:EPL (Europhysics Letters): Scientific Journal.— , 1986-
Vol. 115, № 2.— 2016.— [20002, 5 р.]
第一著者: Ishkhanyan A. Artur
団体著者: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра общей физики (ОФ)
要約: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.
言語:英語
出版事項: 2016
主題:
オンライン・アクセス:http://dx.doi.org/10.1209/0295-5075/115/20002
フォーマット: 電子媒体 図書の章
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653894