Publications at the Riemann Center
Superintegrability of generalized Calogero models with oscillator or Coulomb potential
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Yerevan State University
Tomsk Polytechnic University
- Type
- Article
- Journal
- Physical Review D - Particles, Fields, Gravitation and Cosmology
- Volume
- 90
- ISSN
- 1550-7998
- Publication date
- 25.11.2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics, Physics and Astronomy (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1103/PhysRevD.90.101701 (Access:
Unknown
)
