Superintegrability of generalized Calogero models with oscillator or Coulomb potential

Bibliographic Details
Parent link:	Physical Review D: Particles, Fields, Gravitation, and Cosmology Vol. 90, iss. 10.— 2014.— [101701, 6 p.]
Main Author:	Akopyan (Hakobyan) T. S. Tigran Stepanovich
Corporate Author:	Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Other Authors:	Lechtenfeld O. Olaf, Nersessian A. P. Armen Petrosovich
Summary:	Title screen We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector. Режим доступа: по договору с организацией-держателем ресурса
Language:	English
Published:	2014
Subjects:	электронный ресурс труды учёных ТПУ
Online Access:	http://dx.doi.org/10.1103/PhysRevD.90.101701 http://arxiv.org/abs/1409.8288
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641549

Description
Summary:	Title screen We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector. Режим доступа: по договору с организацией-держателем ресурса
DOI:	10.1103/PhysRevD.90.101701

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