Momentum in stochastic quantum mechanics

Davidson, Mark P.

doi:10.1007/bf00408134

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1986

2014

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Cited by 3 publications

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“…Although sometime criticized [31], the Nelson method is, at present, argument of an intense research activity [35,36,37,38]. It merges together both the Newtonian mechanics and the diffusion process with the prospect to understand the quantum mechanics in a pure classical language.…”

Section: Introductionmentioning

confidence: 99%

Stochastic quantization of an interacting classical particle system

Scarfone¹

2007

J. Stat. Mech.

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Starting from a many-body classical system governed by a trace-form entropy we derive, in the stochastic quantization picture, a family of non linear and non-Hermitian Schrödinger equations describing, in the mean filed approximation, a quantum system of interacting particles. The time evolution of the main physical observables is analyzed by means of the Ehrenfest equations showing that, in general, this family of equations takes into account dissipative and damped effects due to the interaction of the system with the background. We explore the presence of steady states by means of solitons, describing conservative solutions. The results are specialized to the case of a system governed by the Boltzmann-Gibbs entropy.

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