Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle

DOI10.1063/1.531333zbMath0841.60090arXivquant-ph/9505007OpenAlexW2125174793MaRDI QIDQ4873347

Laura M. Morato, Lorenza Viola

Publication date: 18 July 1996

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9505007

zbMATH Keywords

Klein-Gordon equationstochastic quantizationrelativistic hydrodynamicsstochastic variational principle

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Applications of quantum theory to specific physical systems (81V99)

Related Items

Analytic continuation of stochastic mechanics, On the stochastic mechanics of the free relativistic particle, Relativistic Brownian motion and gravity as an eikonal approximation to a quantum evolution equation, Stochastic quantization on Lorentzian manifolds, Stochastic quantization of relativistic theories

Cites Work

• Conservative diffusions
• Ideas in the theory of random media
• The Lagrangian approach to stochastic variational principles on curved manifolds
• The topology of Minkowski space
• Lorentz-invariant Markov processes in relativistic phase space
• Stochastic mechanics of a relativistic spinless particle
• Evolution time Klein-Gordon equation and derivation of its nonlinear counterpart
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Relativistic Stochastic Processes
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles