Hidden symmetries of integrable conformal mechanical systems; Physics Letters A; Vol. 374, iss. 6

Hidden symmetries of integrable conformal mechanical systems; Physics Letters A; Vol. 374, iss. 6

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Parent link:Physics Letters A: Scientific Journal
Vol. 374, iss. 6.— 2010.— [P. 801–806]
Další autoři: Akopyan (Hakobyan) T. S. Tigran Stepanovich, Krivonos S. Sergey, Lechtenfeld O. Olaf, Nersessian A. P. Armen Petrosovich
Shrnutí:Title screen
We split the generic conformal mechanical system into a “radial” and an “angular” part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N=4supersymmetric “angular” Hamiltonian system one may construct a new system with full N=4superconformal D(1,2;α) symmetry.
Режим доступа: по договору с организацией-держателем ресурса
Jazyk:angličtina
Vydáno: 2010
Témata:
электронный ресурс
труды учёных ТПУ
On-line přístup:http://dx.doi.org/10.1016/j.physleta.2009.12.006
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641564

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