dorsal/arxiv
View SchemaQuantum Dynamics as a Stochastic Process
| Authors | M. S. Torres Jr., J. M. A. Figueiredo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204123 |
| URL | https://arxiv.org/abs/quant-ph/0204123 |
Abstract
We study the classical motion of a particle subject to a stochastic force. We then present a perturbative schema for the associated Fokker-Planck equation where, in the limit of a vanishingly small noise source, a consistent dynamical model is obtained. The resulting theory is similar to Quantum Mechanics, having the same field equations for probability measures, the same operator structure and symmetric ordering of operators. The model is valid for general electromagnetic interaction as well as many body systems with mutual interactions of general nature.
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"abstract": "We study the classical motion of a particle subject to a stochastic force. We\nthen present a perturbative schema for the associated Fokker-Planck equation\nwhere, in the limit of a vanishingly small noise source, a consistent dynamical\nmodel is obtained. The resulting theory is similar to Quantum Mechanics, having\nthe same field equations for probability measures, the same operator structure\nand symmetric ordering of operators. The model is valid for general\nelectromagnetic interaction as well as many body systems with mutual\ninteractions of general nature.",
"arxiv_id": "quant-ph/0204123",
"authors": [
"M. S. Torres Jr.",
"J. M. A. Figueiredo"
],
"categories": [
"quant-ph"
],
"title": "Quantum Dynamics as a Stochastic Process",
"url": "https://arxiv.org/abs/quant-ph/0204123"
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