Quantization of non-Hamiltonian physical systems
Abstract
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.
- Publication:
-
Physical Review A
- Pub Date:
- December 1998
- DOI:
- 10.1103/PhysRevA.58.4330
- Bibcode:
- 1998PhRvA..58.4330B
- Keywords:
-
- 03.65.-w;
- 05.30.-d;
- 05.40.+j;
- 52.65.Ff;
- Quantum mechanics;
- Quantum statistical mechanics;
- Fokker-Planck and Vlasov equation