Time-dependent Displaced and Squeezed Number States

Details Time-dependent Displaced and Squeezed Number States Time-dependent Displaced and Squeezed Number States

2003-12-18

arxiv.org/abs/quant-ph/0312152v1

J. Korean Phys. Soc. 44 (2004) 446-450

Physics

Quantum Physics

RevTex4, 9pages, no figure; to be published in J. Korean Phys. Soc

Scientific paper

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.

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