Geodesic
Deformed oscillators and their applications
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 37-74

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Some variants of definitions and properties of deformed oscillators are reviewed. The $q$-analogs of coherent states are studied. Some applications of $q$-oscillators, such as $q$-oscillator representations of quantum algebras and superalgebras, $q$-coherent states of $su_q(2)$ and $su_q(1,1)$ quant algebras and the deformed Jaynes–Cummings model are considered. Generalizations to the case of several degrees of freedom are also given. 
@article{ZNSL_1991_189_a4,
     author = {E. V. Damaskinsky and P. P. Kulish},
     title = {Deformed oscillators and their applications},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {37--74},
     publisher = {mathdoc},
     volume = {189},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a4/}
}
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E. V. Damaskinsky; P. P. Kulish. Deformed oscillators and their applications. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 37-74. http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a4/