Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation

Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation

Bibliografiske detaljer
Parent link:	Annalen der Physik: Scientific Journal.— , 1799- Vol. 528, iss. 3-4.— 2016.— [P. 264–271]
Hovedforfatter:	Tarloyan A. S.
Institution som forfatter:	Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра общей физики
Andre forfattere:	Ishkhanyan T. A. Tigran, Ishkhanyan A. Artur
Summary:	Title screen We present in total fifteen potentials for which the stationary Klein-Gordon equation is solvable in terms of the confluent Heun functions. Because of the symmetry of the confluent Heun equation with respect to the transposition of its regular singularities, only nine of the potentials are independent. Four of these independent potentials are five-parametric. One of them possesses a four-parametric ordinary hypergeometric sub-potential, another one possesses a four-parametric confluent hypergeometric sub-potential, and one potential possesses four-parametric sub-potentials of both hypergeometric types. The fourth five-parametric potential has a three-parametric confluent hypergeometric sub-potential, which is, however, only conditionally integrable. The remaining five independent Heun potentials are four-parametric and have solutions only in terms of irreducible confluent Heun functions. Режим доступа: по договору с организацией-держателем ресурса
Sprog:	engelsk
Udgivet:	2016
Fag:	электронный ресурс труды учёных ТПУ
Online adgang:	http://dx.doi.org/10.1002/andp.201500314
Format:	Electronisk Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=651023

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