G. Dattoli et al., COUPLED HARMONIC-OSCILLATORS, GENERALIZED HARMONIC-OSCILLATOR EIGENSTATES AND COHERENT STATES, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(7), 1996, pp. 811-823
Coupled-harmonic-oscillator Hamiltonians, modelling different physical
processes, are discussed along with their eigenfunctions, which are s
hown to be generalized harmonic-oscillator functions with many indices
and variables. We introduce the relevant coherent states and analyse
their peculiar properties. The physical and mathematical consequences
of our study are finally considered.