Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case


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For the three-frequency quantum resonance oscillator, the reducible case, where the frequencies are integer and at least one pair of frequencies has a nontrivial common divisor, is studied. It is shown how the description of the algebra of symmetries of such an oscillator can be reduced to the irreducible case of pairwise coprime integer frequencies. Polynomial algebraic relations are written, and irreducible representations and coherent states are constructed.

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M. Karasev

National Research University Higher School of Economics

编辑信件的主要联系方式.
Email: karasev.mikhail@gmail.com
俄罗斯联邦, Moscow, 101000

E. Novikova

National Research University Higher School of Economics

Email: karasev.mikhail@gmail.com
俄罗斯联邦, Moscow, 101000

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