Algebra of Symmetries of Three-Frequency Hyperbolic Resonance
- Authors: Novikova E.M.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 106, No 5-6 (2019)
- Pages: 940-956
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151940
- DOI: https://doi.org/10.1134/S0001434619110300
- ID: 151940
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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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