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Applications of deformed oscillators

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Abstract

Some variants of the definitions and properties of deformed oscillators are reviewed. The q-analogs of coherent states are discussed. We also consider some applications of deformed oscillators, including q-oscillator representations of the simplest quantum algebras and superalgebras, q-coherent states of the suq(2) and suq(1,1) quantum algebras of the Jaynes-Cummings model. Generalizations are given for the case of several degrees of freedom.

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Authors
  1. E. V. Damaskinskii
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  2. P. P. Kulish
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 189, pp. 37–74, 1991.

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Damaskinskii, E.V., Kulish, P.P. Applications of deformed oscillators. J Math Sci 62, 2963–2986 (1992). https://doi.org/10.1007/BF01097496

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