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Algebra of Symmetries of Three-Frequency Hyperbolic Resonance

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Abstract

The algebra of symmetries of a quantum three-frequency hyperbolic resonance oscillator is studied. It is shown that this algebra is determined by a finite set of generators with polynomial commutation relations. The irreducible representations of this algebra and the corresponding coherent states are constructed.

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Funding

This work was implemented in the framework of the Basic Research Program at the National Research University Higher School of Economics (HSE University) in 2019.

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  1. National Research University Higher School of Economics, Moscow, 101000, Russia

    E. M. Novikova

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  1. E. M. Novikova
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Correspondence to E. M. Novikova.

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Novikova, E.M. Algebra of Symmetries of Three-Frequency Hyperbolic Resonance. Math Notes 106, 940–956 (2019). https://doi.org/10.1134/S0001434619110300

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