DYNAMICS OF A HARMONIC-OSCILLATOR IN A FINITE-DIMENSIONAL HILBERT-SPACE

Some dynamical properties of a finite-dimensional Hilbert space harmon ic oscillator (FDHSHO) are studied. The time evolution of the position and momentum operators and the second-order quadrature squeezing are investigated in detail. It is shown that the coherent states of the FD HSHO are not the minimum uncertainty states of the position and moment um operators of the FDHSHO. It is found that the second-order squeezin g of the quadrature operators vanishes and reappears periodically in t he time evolution.