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arXiv · 1610.02499

SU(1,2) invariance in two-dimensional oscillator

Sergey Krivonos·Armen Nersessian
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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.

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Sergey Krivonos, Armen Nersessian. 2016-10-08. SU(1,2) invariance in two-dimensional oscillator. https://doi.org/10.1007/jhep02(2017)006

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