Abstract
A two-parameter (p, q) deformation of the Jaynes-Cummings model is obtained using a recently developed (p, q)-deformed oscillator. In the rotating wave approximation (RWA) the dynamical symmetry of the model is the quantum superalgebra up,q(1 mod 1). The partition function of the model is obtained as a path integral over generalized Perelomov coherent states corresponding to the quantum algebra Up.q(1 mod 1). The complete spectrum of the model is extracted for both the case when the coupling constants are Grassman valued and when they are c-number valued. It is noted that a relaxation of the RWA extends the dynamical symmetry to the quantum superalgebra ospp,q(2 mod 2).
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