Quantization of non-Hamiltonian and Dissipative Systems
Tarasov, Vasily E.
arXiv, 0311159 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-11-24
Classification:  Quantum Physics,  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Physics - Chemical Physics 
@article{0311159,
     author = {Tarasov, Vasily E.},
     title = {Quantization of non-Hamiltonian and Dissipative Systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311159}
}

Tarasov, Vasily E. Quantization of non-Hamiltonian and Dissipative Systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311159/