ENTROPIC UNCERTAINTY RELATIONS FOR A QUANTUM OSCILLATOR

We calculated the Shannon entropy of position and momentum for the sta tionary quantum states of the harmonic oscillator as a function of its energy and determined the corresponding entropic uncertainty relation s for them. We found an approximate phenomenological function for the dependence of position and momentum entropies on the large quantum num bers and the corresponding asymptotic entropy-energy relation for the stationary harmonic oscillator. We also studied the time evolution of the position and momentum entropies of the non-stationary harmonic osc illator for the coherent states, squeezed vacuum and Schrodinger cat s tates.