Details
| Original language | English |
|---|---|
| Article number | 101701 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 90 |
| Issue number | 10 |
| Publication status | Published - 25 Nov 2014 |
Abstract
We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 90, No. 10, 101701, 25.11.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Superintegrability of generalized Calogero models with oscillator or Coulomb potential
AU - Hakobyan, Tigran
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
N1 - Publisher Copyright: © 2014 American Physical Society. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/11/25
Y1 - 2014/11/25
N2 - We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.
AB - We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.
UR - http://www.scopus.com/inward/record.url?scp=84918785451&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.101701
DO - 10.1103/PhysRevD.90.101701
M3 - Article
AN - SCOPUS:84918785451
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
M1 - 101701
ER -