ACAD SINICA,CHINA & INST HIGH ENERGY PHYS,BEIJING 100039,PEOPLES R CHINA
A set of deformed k-boson operators are defined and it is shown that the nonlinear transformations from the usual deformed oscillator operators to the deformed k-boson operators form an Abelian group. It is shown that the multiboson operators satisfy quantum Weyl-Heisenberg group. The generalized Holstein-Primakoff realizations in terms of these multibosons operators are used to define the quantum group-theoretic coherent states of SU(q)(1,1) and SU(q)(2). The uncertainties DELTA-X(k',q) and DELTA-P(k',q) with respect to those group-theoretic and generalized coherent states are computed explicitly and the results show that these coherent states are squeezed.