On the stochastic mechanics of the free relativistic particle

DOI10.1063/1.1401135zbMath1016.81010arXivquant-ph/0108139OpenAlexW2019344243MaRDI QIDQ2774689

Michele Pavon

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0108139

zbMATH Keywords

Klein-Gordon equationMarkov diffusion processnonconstant diffusion coefficientrandom time-change transformation

Mathematics Subject Classification ID

Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (5)

Analytic continuation of stochastic mechanics ⋮ Cooper pair formation by quantizing Brownian motion ⋮ Stochastic quantization on Lorentzian manifolds ⋮ Stochastic emergent quantum gravity ⋮ Stochastic quantization of relativistic theories

Cites Work

• Conservative diffusions
• The adjoint Markoff process
• Time reversal of diffusions
• Lorentz-invariant Markov processes in relativistic phase space
• Stochastic mechanics of a relativistic spinless particle
• The adjoint process of a diffusion with reflecting barrier
• On the dynamics of diffusions and the related general electromagnetic potentials
• Evolution time Klein-Gordon equation and derivation of its nonlinear counterpart
• Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle
• Relativistic Stochastic Processes

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