Runge-Lenz vector in the Calogero-Coulomb problem

Dettagli Bibliografici
Parent link:Physical Review A: Atomic, Molecular, and Optical Physics.— , 1970-
Vol. 92, iss. 2.— 2015.— [022111, 6 p.]
Autore principale: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Ente Autore: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Altri autori: Nersessian A. P. Armen Petrosovich
Riassunto: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
Lingua:inglese
Pubblicazione: 2015
Soggetti:
Accesso online:http://dx.doi.org/10.1103/PhysRevA.92.022111
Natura: Elettronico Capitolo di libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644281

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