2003/12/18 by Sang Pyo Kim
Physics and Astronomy · #quant-ph
published as J. Korean Phys. Soc. 44 (2004) 446-450 · RevTex4, 9pages, no figure; to be published in J. Korean Phys. Soc
arxiv created 2003/12/18 · arxiv updated 2009/12/01
We generalize the wave functions of the displaced and squeezed number states, found by Nieto, to a time-dependent harmonic oscillator with variable mass and frequency. These time-dependent displaced and squeezed number states are obtained by first squeezing and then displacing the exact number states and are exact solutions of the Schrödinger equation. Further, these wave functions are the time-dependent squeezed harmonic-oscillator wave functions centered at classical trajectories.