dorsal/arxiv
View SchemaFunctional Forms for the Squeeze and the Time-Displacement Operators
| Authors | Michael Martin Nieto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9605032 |
| URL | https://arxiv.org/abs/quant-ph/9605032 |
| DOI | 10.1088/1355-5111/8/5/011 |
| Journal | Quant.Semiclass.Opt. 8 (1996) 1061 |
Abstract
Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator time-displacement operators are given in the form $\exp[\delta I] \exp[\alpha (x^2)]\exp[\beta(x\partial)] \exp[\gamma (\partial)^2]$, where $\alpha$, $\beta$, $\gamma$, and $\delta$ are explicitly determined. Applications are discussed.
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"abstract": "Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator\ntime-displacement operators are given in the form $\\exp[\\delta I] \\exp[\\alpha\n(x^2)]\\exp[\\beta(x\\partial)] \\exp[\\gamma (\\partial)^2]$, where $\\alpha$,\n$\\beta$, $\\gamma$, and $\\delta$ are explicitly determined. Applications are\ndiscussed.",
"arxiv_id": "quant-ph/9605032",
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"doi": "10.1088/1355-5111/8/5/011",
"journal_ref": "Quant.Semiclass.Opt. 8 (1996) 1061",
"title": "Functional Forms for the Squeeze and the Time-Displacement Operators",
"url": "https://arxiv.org/abs/quant-ph/9605032"
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