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