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.

About the authors

E. M. Novikova

National Research University Higher School of Economics

Author for correspondence.
Email: e.m.novikova@gmail.com
Russian Federation, Moscow, 101000

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