Action-angle variables for dihedral systems on the circle; Physics Letters A; Vol. 374, iss. 46

Action-angle variables for dihedral systems on the circle; Physics Letters A; Vol. 374, iss. 46

Bibliographic Details
Parent link:Physics Letters A: Scientific Journal
Vol. 374, iss. 46.— 2010.— [P. 4647–4652]
Main Author: Lechtenfeld O. Olaf
Other Authors: Nersessian A. P. Armen Petrosovich, Yeghikyan V. Vahagn
Summary:Title screen
A nonrelativistic particle on a circle and subject to a cos−2(kφ) potential is related to the two-dimensional (dihedral) Coxeter system I2(k), for k∈N. For such ‘dihedral systems’ we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A2, BC2and G2 three-particle rational Calogero models on R, which we also analyze.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2010
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://dx.doi.org/10.1016/j.physleta.2010.09.047
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641561

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