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 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Superintegrability of generalized Calogero models with oscillator or Coulomb potential. / Hakobyan, Tigran; Lechtenfeld, Olaf; Nersessian, Armen.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 90, No. 10, 101701, 25.11.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Superintegrability of generalized Calogero models with oscillator or Coulomb potential
AU - Hakobyan, Tigran
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
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
UR - http://www.scopus.com/inward/citedby.url?scp=84918785451&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.101701
DO - 10.1103/PhysRevD.90.101701
M3 - Article
VL - 90
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
M1 - 101701
ER -