Details
| Original language | English |
|---|---|
| Pages (from-to) | 679-686 |
| Number of pages | 8 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 376 |
| Issue number | 5 |
| Publication status | Published - 16 Jan 2012 |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 376, No. 5, 16.01.2012, p. 679-686.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Integrable generalizations of oscillator and Coulomb systems via action-angle variables
AU - Hakobyan, T.
AU - Lechtenfeld, O.
AU - Nersessian, A.
AU - Saghatelian, A.
AU - Yeghikyan, V.
N1 - Funding Information: This work was partially supported by Volkswagen Foundation Grant I/84 496 and by the Grants SCS 11-1c258 and SCS-BFBR 11AB-001 of the Armenian State Committee of Science . Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/1/16
Y1 - 2012/1/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84856058725&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2011.12.034
DO - 10.1016/j.physleta.2011.12.034
M3 - Article
AN - SCOPUS:84856058725
VL - 376
SP - 679
EP - 686
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 5
ER -