On the dynamics of diffusions and the related general electromagnetic potentials

DOI10.1063/1.525489zbMath0498.70027OpenAlexW1987623786MaRDI QIDQ3964062

Laura M. Morato

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525489

zbMATH Keywords

Nelson's stochastic mechanicsvector potentialsdiffusion on Riemannian manifoldcorrespondence between diffusions and solutions of Schrödinger equationsgeneral diffusion processesIto's theoryNelson's approach to quantum mechanicsstochastic geodesic transport

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Stochastic mechanics (including stochastic electrodynamics) (81P20) Variational principles of physics (49S05) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (7)

Unnamed Item ⋮ On entropy production for controlled Markovian evolution ⋮ Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes ⋮ A FOOTNOTE TO NELSON'S INTERPRETATION OF THE TWO-SLIT EXPERIMENT ⋮ On the stochastic mechanics of the free relativistic particle ⋮ Stochastic action of dynamical systems on curved manifolds. The geodesic interpolation ⋮ Markov processes and generalized Schrödinger equations

Cites Work

• Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics

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