Quantization of non-Hamiltonian and dissipative systems
نویسنده
چکیده
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. 2001 Elsevier Science B.V. All rights reserved. PACS: 03.65; 05.30.-d
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