Time-dependent Displaced and Squeezed Number States
Quantum Physics
2007-05-23 v1
Abstract
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 Schr\"{o}dinger equation. Further, these wave functions are the time-dependent squeezed harmonic-oscillator wave functions centered at classical trajectories.
Cite
@article{arxiv.quant-ph/0312152,
title = {Time-dependent Displaced and Squeezed Number States},
author = {Sang Pyo Kim},
journal= {arXiv preprint arXiv:quant-ph/0312152},
year = {2007}
}
Comments
RevTex4, 9pages, no figure; to be published in J. Korean Phys. Soc