Superintegrability of generalized Calogero models with oscillator or Coulomb potential

authored by

Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Yerevan State University
Tomsk Polytechnic University

Type

Artikel

Journal

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volume

90

ISSN

1550-7998

Publication date

25.11.2014

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik, Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.1103/PhysRevD.90.101701 (Access: Unbekannt)