Generalized two-mode harmonic oscillator model: squeezed number state solutions and nonadiabatic Berry¿s phase

A generalized two-mode harmonic oscillator model is investigated within the framework of its general dynamical algebra so(3,2). Two types of eigenstates, formulated as extended su(1,1), su(2) squeezed number states are found respectively. The nonadiabatic Berry’s phase for this system with the cranked time-dependent Hamiltonian is also given.