Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems

Bibliographic Details
Parent link:Physical Review D: covering particles, fields, gravitation, and cosmology.— , 1970-
Vol. 93, iss. 4.— 2016.— [045025, 14 p.]
Main Author: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Corporate Author: Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра высшей математики и математической физики
Other Authors: Nersessian A. P. Armen Petrosovich
Summary:Title screen
We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems and construct their constants of motion via the Dunkl operators. Their Schrodinger equations decouple in parabolic and elliptic coordinates into the set of three differential equations like for the Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the energy levels, but changes their degrees of degeneracy.
Режим доступа: по договору с организацией-держателем ресурса
Published: 2016
Subjects:
Online Access:http://dx.doi.org/10.1103/PhysRevD.93.045025
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646950