dorsal/arxiv
View SchemaGeneral Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space
| Authors | Xiang-Bin Wang, C. H. Oh, L. C. Kwek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802048 |
| URL | https://arxiv.org/abs/quant-ph/9802048 |
| DOI | 10.1088/0305-4470/31/18/020 |
| Journal | J.Phys.A31:4329-4336,1998 |
Abstract
In a recent paper [Nieto M M 1996 Quantum and Semiclassical Optics, 8 1061; quant-ph/9605032], the one dimensional squeezed and harmonic oscillator time-displacement operators were reordered in coordinate-momentum space. In this paper, we give a general approach for reordering multi-dimensional exponential quadratic operator(EQO) in coordinate-momentum space. An explicit computational formula is provided and applied to the single mode and double-mode EQO through the squeezed operator and the time displacement operator of the harmonic oscillator.
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"abstract": "In a recent paper [Nieto M M 1996 Quantum and Semiclassical Optics, 8 1061;\nquant-ph/9605032], the one dimensional squeezed and harmonic oscillator\ntime-displacement operators were reordered in coordinate-momentum space. In\nthis paper, we give a general approach for reordering multi-dimensional\nexponential quadratic operator(EQO) in coordinate-momentum space. An explicit\ncomputational formula is provided and applied to the single mode and\ndouble-mode EQO through the squeezed operator and the time displacement\noperator of the harmonic oscillator.",
"arxiv_id": "quant-ph/9802048",
"authors": [
"Xiang-Bin Wang",
"C. H. Oh",
"L. C. Kwek"
],
"categories": [
"quant-ph",
"physics.comp-ph",
"physics.optics"
],
"doi": "10.1088/0305-4470/31/18/020",
"journal_ref": "J.Phys.A31:4329-4336,1998",
"title": "General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space",
"url": "https://arxiv.org/abs/quant-ph/9802048"
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