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- W1616390010 abstract "Abstract The new scheme of stochastic quantization is proposed. This quantization procedureis equivalentto the deformation of an algebra of observables in the manner of deformation quantization with animaginary deformation parameter (the Planck constant). We apply this method to the models ofnonrelativistic and relativistic particles interacting with an electromagnetic field. In the first casewe establish the equivalence of such a quantization to the Fokker-Planck equation with a specialforce. The application of the proposed quantization procedure to the model of a relativistic particleresults in a relativistic generalization of the Fokker-Planck equation in the coordinate space, whichin the absence of the electromagnetic field reduces to the relativistic diffusion (heat) equation. Thestationary probability distribution functions for a stochastically quantized particle diffusing undera barrier and a particle in the potential of a harmonic oscillator are derived. ∗ Electronic address: kpo@phys.tsu.ru" @default.
- W1616390010 created "2016-06-24" @default.
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- W1616390010 date "2008-01-01" @default.
- W1616390010 modified "2023-09-27" @default.
- W1616390010 title "Relativistic diffusion equation from stochastic quantization" @default.
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