Quantization of Non-Hamiltonian Systems

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dc.creatorTarasov, Vasily E.
dc.date2001-08-28
dc.date.accessioned2026-07-07T06:02:37Z
dc.date.available2026-07-07T06:02:37Z
dc.descriptionIn this paper a generalization of Weyl quantization which maps a dynamical operator in a function space to a dynamical superoperator in an operator space is suggested. Quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables can be derived as a specific case of suggested quantization if dynamical operator is an operator of multiplication on a function. This approach allows to define consistent Weyl quantization of non-Hamiltonian and dissipative systems. Examples of the harmonic oscillator with friction and a system which evolves by Fokker-Planck-type equation are considered.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0108120
dc.identifierhttp://arxiv.org/abs/quant-ph/0108120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89669
dc.subjectQuantum Physics
dc.titleQuantization of Non-Hamiltonian Systems
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