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Time-dependent Displaced and Squeezed Number States

Sang Pyo Kim
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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 Schrödinger equation. Further, these wave functions are the time-dependent squeezed harmonic-oscillator wave functions centered at classical trajectories.

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Sang Pyo Kim. 2003-12-18. Time-dependent Displaced and Squeezed Number States. https://arxiv.org/abs/quant-ph/0312152

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