The quantum multiboson algebra and generalized coherent states of SUq(1,1)

Abstract

The author gives a generalization of the deformed oscillator and shows that it satisfies the quantum Weyl-Heisenberg group. The nonlinear transformations from the usual deformed oscillator operators to the deformed k-boson operators form an Abelian group. The generalized Holstein-Primakoff realizations in terms of these multiboson operators are used to define the quantum group-theoretic coherent states of SUq(1,1).