Riemann-Cartan-Weyl quantum geometry. II: Cartan stochastic copying method, Fokker-Planck operator and Maxwell-de Rham equations

DOI10.1007/BF02435948zbMath0894.58074MaRDI QIDQ1380922

Diego L. Rapoport

Publication date: 7 September 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

diffusions on manifoldsFokker-Planck operatorMaxwell theoryCartan stochastic copying methodMaxwell-de Rham equationsRiemann-Cartan-Weyl spacetimeWeyl torsion

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Geometry and quantization, symplectic methods (81S10) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic quantization (81S20)

Related Items

Quaternion algebra on 4D superfluid quantum space-time: gravitomagnetism, Cartan-Weyl Dirac and Laplacian operators, Brownian motions: the quantum potential and scalar curvature, Maxwell's and Dirac-Hestenes equations, and supersymmetric systems, Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free Maxwell and Dirac-Hestenes equations

Cites Work

• On the interaction of spin and torsion
• Nonlocal quantum field theory and stochastic quantum mechanics
• Stochastic processes in conformal Riemann-Cartan-Weyl gravitation
• Riemann-Cartan-Weyl quantum geometry. I: Laplacians and supersymmetric systems
• Flows of stochastic dynamical systems: The functional analytic approach
• Probabilistic Properties of Deterministic Systems
• K -Theory of Twisted Differential Operators
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular Fluctuations
• Derivation of the phenomenological equations from the master equation
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