Runge-Lenz vector in the Calogero-Coulomb problem; Physical Review A; Vol. 92, iss. 2

Runge-Lenz vector in the Calogero-Coulomb problem; Physical Review A; Vol. 92, iss. 2

Detalhes bibliográficos
Parent link:Physical Review A: Atomic, Molecular, and Optical Physics.— , 1970-
Vol. 92, iss. 2.— 2015.— [022111, 6 p.]
Autor principal: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Autor Corporativo: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Outros Autores: Nersessian A. P. Armen Petrosovich
Resumo:Title screen
We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of their Coulomb counterpart. Together with similar correspondence between the Calogero oscillator and oscillator models, this observation permits the claim that most of the properties of the Coulomb and oscillator systems can be lifted to their Calogero-extended analogs by the proper replacement of the momenta by the Dunkl momenta operators.
Режим доступа: по договору с организацией-держателем ресурса
Idioma:inglês
Publicado em: 2015
Assuntos:
электронный ресурс
труды учёных ТПУ
Acesso em linha:http://dx.doi.org/10.1103/PhysRevA.92.022111
Formato: Recurso Electrónico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644281

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