Integrable generalizations of oscillator and Coulomb systems via action–angle variables; Physics Letters A; Vol. 376, iss. 5

Integrable generalizations of oscillator and Coulomb systems via action–angle variables; Physics Letters A; Vol. 376, iss. 5

Bibliografiske detaljer
Parent link:Physics Letters A: Scientific Journal
Vol. 376, iss. 5.— 2012.— [P. 679–686]
Andre forfattere: Akopyan (Hakobyan) T. S. Tigran Stepanovich, Lechtenfeld O. Olaf, Nersessian A. P. Armen Petrosovich, Saghatelian A., Yeghikyan V.
Summary:Title screen
Oscillator and Coulomb systems on N -dimensional spaces of constant curvature can be generalized by replacing their angular degrees of freedom with a compact integrable (N-1)-dimensional system. We present the action–angle formulation of such models in terms of the radial degree of freedom and the action–angle variables of the angular subsystem. As an example, we construct the spherical and pseudospherical generalization of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz. We demonstrate the superintegrability of these systems and give their hidden constant of motion.
Режим доступа: по договору с организацией-держателем ресурса
Sprog:engelsk
Udgivet: 2012
Fag:
электронный ресурс
труды учёных ТПУ
Online adgang:http://dx.doi.org/10.1016/j.physleta.2011.12.034
Format: Electronisk Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641569

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