dorsal/arxiv
View SchemaStationary quantum Markov process for the Wigner function
| Authors | T. Hashimoto, M. Horibe, A. Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602227 |
| URL | https://arxiv.org/abs/quant-ph/0602227 |
| DOI | 10.1088/1751-8113/40/47/015 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) 14253-14262. |
Abstract
As a stochastic model for quantum mechanics we present a stationary quantum Markov process for the time evolution of the Wigner function on a lattice phase space Z_N x Z_N with N odd. By introducing a phase factor extension to the phase space, each particle can be treated independently. This is an improvement on earlier methods that require the whole distribution function to determine the evolution of a constituent particle. The process has branching and vanishing points, though a finite time interval can be maintained between the branchings. The procedure to perform a simulation using the process is presented.
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"abstract": "As a stochastic model for quantum mechanics we present a stationary quantum\nMarkov process for the time evolution of the Wigner function on a lattice phase\nspace Z_N x Z_N with N odd. By introducing a phase factor extension to the\nphase space, each particle can be treated independently. This is an improvement\non earlier methods that require the whole distribution function to determine\nthe evolution of a constituent particle. The process has branching and\nvanishing points, though a finite time interval can be maintained between the\nbranchings. The procedure to perform a simulation using the process is\npresented.",
"arxiv_id": "quant-ph/0602227",
"authors": [
"T. Hashimoto",
"M. Horibe",
"A. Hayashi"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/47/015",
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) 14253-14262.",
"title": "Stationary quantum Markov process for the Wigner function",
"url": "https://arxiv.org/abs/quant-ph/0602227"
},
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