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.
| Original language | English |
|---|---|
| Article number | 101701 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 90 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 25 Nov 2014 |
| Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Cite this
Hakobyan, T., Lechtenfeld, O., & Nersessian, A. (2014). Superintegrability of generalized Calogero models with oscillator or Coulomb potential. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(10), [101701]. https://doi.org/10.1103/PhysRevD.90.101701