dorsal/arxiv
View SchemaTime-dependent Displaced and Squeezed Number States
| Authors | Sang Pyo Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312152 |
| URL | https://arxiv.org/abs/quant-ph/0312152 |
| Journal | J. Korean Phys. Soc. 44 (2004) 446-450 |
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.
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"abstract": "We generalize the wave functions of the displaced and squeezed number states,\nfound by Nieto, to a time-dependent harmonic oscillator with variable mass and\nfrequency. These time-dependent displaced and squeezed number states are\nobtained by first squeezing and then displacing the exact number states and are\nexact solutions of the Schr\\\"{o}dinger equation. Further, these wave functions\nare the time-dependent squeezed harmonic-oscillator wave functions centered at\nclassical trajectories.",
"arxiv_id": "quant-ph/0312152",
"authors": [
"Sang Pyo Kim"
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"journal_ref": "J. Korean Phys. Soc. 44 (2004) 446-450",
"title": "Time-dependent Displaced and Squeezed Number States",
"url": "https://arxiv.org/abs/quant-ph/0312152"
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