A generalization of the Fenyes-Nelson stochastic model of quantum mechanics

Abstract

It is shown that the stochastic model of Fenyes and Nelson can be generalized in such a way that the diffusion constant of the Markov theory becomes a free parameter. This extra freedom allows one to identify quantum mechanics with a class of Markov processes with diffusion constants varying from zero to infinity.

7 pages

Cited by in corpus (16)

• Many-Worlds and Schroedinger's First Quantum Theory
• Are All Particles Real?
• Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
• Generalization of Uncertainty Relation for Quantum and Stochastic Systems
• Maximal violation of Bell inequalities by position measurements
• Stochastic Emergent Quantum Gravity
• The generalized Fenyes-Nelson model for free scalar field theory
• Time-dependent quantum Monte Carlo and the stochastic quantization
• Stochastic Variational Method as Quantization Scheme I: Field Quantization of Complex Klein-Gordan Equation
• Stochastic quantization of the linearized gravitational field
• Derivation of the Local-Mean Stochastic Quantum Force
• The quark-gluon plasma, turbulence, and quantum mechanics
• Quantum fluctuations from a local-causal information dynamics
• Quantum dynamics and kinematics from a statistical model selected by the principle of Locality
• Multi-valued vortex solutions to the Schrödinger equation and radiation
• Derivation of the Schrodinger equation from fundamental principles