dorsal/arxiv
View SchemaClassical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
| Authors | Stefano Mancini, Vladimir I. Man'ko, Paolo Tombesi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9609026 |
| URL | https://arxiv.org/abs/quant-ph/9609026 |
| DOI | 10.1007/BF02550342 |
| Journal | Found.Phys. 27 (1997) 801 |
Abstract
The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography". Then the possibility of a purely classical description of a quantum system as well as a reinterpretation of the quantum measurement theory is discussed and a comparision with the well known quasi-probabilities approach is given. Furthermore, an analysis of the properties of this marginal distribution, which contains all the quantum information, is performed in the framework of classical probability theory. Finally examples of harmonic oscillator's states dynamics are treated.
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"abstract": "The dynamical equation of quantum mechanics are rewritten in form of\ndynamical equations for the measurable, positive marginal distribution of the\nshifted, rotated and squeezed quadrature introduced in the so called\n\"symplectic tomography\". Then the possibility of a purely classical description\nof a quantum system as well as a reinterpretation of the quantum measurement\ntheory is discussed and a comparision with the well known quasi-probabilities\napproach is given. Furthermore, an analysis of the properties of this marginal\ndistribution, which contains all the quantum information, is performed in the\nframework of classical probability theory. Finally examples of harmonic\noscillator\u0027s states dynamics are treated.",
"arxiv_id": "quant-ph/9609026",
"authors": [
"Stefano Mancini",
"Vladimir I. Man\u0027ko",
"Paolo Tombesi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF02550342",
"journal_ref": "Found.Phys. 27 (1997) 801",
"title": "Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography",
"url": "https://arxiv.org/abs/quant-ph/9609026"
},
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