dorsal/arxiv
View SchemaTomograms in the Quantum-Classical transition
| Authors | V. I. Man'ko, G. Marmo, A. Simoni, A. Stern, F. Ventriglia |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505220 |
| URL | https://arxiv.org/abs/quant-ph/0505220 |
| DOI | 10.1016/j.physleta.2005.05.090 |
| Journal | Phys.Lett. A343 (2005) 251-256 |
Abstract
The quantum-classical limits for quantum tomograms are studied and compared with the corresponding classical tomograms, using two different definitions for the limit. One is the Planck limit where $\hbar \to 0$ in all $\hbar $-dependent physical observables, and the other is the Ehrenfest limit where $\hbar \to 0$ while keeping constant the mean value of the energy.The Ehrenfest limit of eigenstate tomograms for a particle in a box and a harmonic oscillatoris shown to agree with the corresponding classical tomograms of phase-space distributions, after a time averaging. The Planck limit of superposition state tomograms of the harmonic oscillator demostrating the decreasing contribution of interferences terms as $\hbar \to 0$.
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"abstract": "The quantum-classical limits for quantum tomograms are studied and compared\nwith the corresponding classical tomograms, using two different definitions for\nthe limit. One is the Planck limit where $\\hbar \\to 0$ in all $\\hbar\n$-dependent physical observables, and the other is the Ehrenfest limit where\n$\\hbar \\to 0$ while keeping constant the mean value of the energy.The Ehrenfest\nlimit of eigenstate tomograms for a particle in a box and a harmonic\noscillatoris shown to agree with the corresponding classical tomograms of\nphase-space distributions, after a time averaging. The Planck limit of\nsuperposition state tomograms of the harmonic oscillator demostrating the\ndecreasing contribution of interferences terms as $\\hbar \\to 0$.",
"arxiv_id": "quant-ph/0505220",
"authors": [
"V. I. Man\u0027ko",
"G. Marmo",
"A. Simoni",
"A. Stern",
"F. Ventriglia"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/j.physleta.2005.05.090",
"journal_ref": "Phys.Lett. A343 (2005) 251-256",
"title": "Tomograms in the Quantum-Classical transition",
"url": "https://arxiv.org/abs/quant-ph/0505220"
},
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