dorsal/arxiv
View SchemaQuantization of non-Hamiltonian and Dissipative Systems
| Authors | Vasily E. Tarasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311159 |
| URL | https://arxiv.org/abs/quant-ph/0311159 |
| DOI | 10.1016/S0375-9601(01)00548-5 |
| Journal | Physics Letters A 288 (2001) 173-182 |
Abstract
A generalization of canonical quantization which maps a dynamical operator to a dynamical superoperator is suggested. Weyl quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables is a specific case of suggested quantization. This approach allows to define consistent quantization procedure for non-Hamiltonian and dissipative systems. Examples of the harmonic oscillator with friction (generalized Lorenz-Rossler-Leipnik-Newton equation), the Fokker-Planck-type system and Lorenz-type system are considered.
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"abstract": "A generalization of canonical quantization which maps a dynamical operator to\na dynamical superoperator is suggested. Weyl quantization of dynamical\noperator, which cannot be represented as Poisson bracket with some function, is\nconsidered. The usual Weyl quantization of observables is a specific case of\nsuggested quantization. This approach allows to define consistent quantization\nprocedure for non-Hamiltonian and dissipative systems. Examples of the harmonic\noscillator with friction (generalized Lorenz-Rossler-Leipnik-Newton equation),\nthe Fokker-Planck-type system and Lorenz-type system are considered.",
"arxiv_id": "quant-ph/0311159",
"authors": [
"Vasily E. Tarasov"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th",
"math-ph",
"math.MP",
"physics.chem-ph"
],
"doi": "10.1016/S0375-9601(01)00548-5",
"journal_ref": "Physics Letters A 288 (2001) 173-182",
"title": "Quantization of non-Hamiltonian and Dissipative Systems",
"url": "https://arxiv.org/abs/quant-ph/0311159"
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