SU(1,2) invariance in two-dimensional oscillator
High Energy Physics - Theory
2017-07-28 v1 Mathematical Physics
math.MP
Abstract
Performing the Hamiltonian analysis we explicitly established the canonical equivalence of the deformed oscillator, constructed in arXiv:1607.03756[hep-th], with the ordinary one. As an immediate consequence, we proved that the SU(1,2) symmetry is the dynamical symmetry of the ordinary two-dimensional oscillator. The characteristic feature of this SU(1,2) symmetry is a non-polynomial structure of its generators written it terms of the oscillator variables.
Keywords
Cite
@article{arxiv.1610.02499,
title = {SU(1,2) invariance in two-dimensional oscillator},
author = {Sergey Krivonos and Armen Nersessian},
journal= {arXiv preprint arXiv:1610.02499},
year = {2017}
}
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7 pages