Phys. Rev. A 58, 4330 - 4335 (1998)

Quantization of non-Hamiltonian physical systems

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A. O. Bolivar *
Centro Brasileiro de Pesquisas Físicas, CBPF-DMF, R. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil

Received 12 June 1998

We propose a general method of quantization of non-Hamiltonian physical systems. Applying it, for example, to a dissipative system coupled to a thermal reservoir described by the Fokker-Planck equation, we are able to obtain the Caldeira-Leggett master equation, the nonlinear Schrödinger-Langevin equation, and the Caldirola-Kanai equation (with an additional term), as particular cases.


©1998 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v58/p4330
DOI: 10.1103/PhysRevA.58.4330
PACS: 03.65.-w, 05.30.-d, 05.40.+j, 52.65.Ff

* Permanent address: Instituto Cultural Eudoro de Souza, Departamento Mário Schönberg de Física, Ceilândia 72221-970 (C.P. 7316), D.F., Brazil.

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