aqora

Introduction to Nelson Stochastic Mechanics as a Model for Quantum Mechanics

Francesco Guerra

Springer eBooksJan 1, 19959 citations

Stochastic model of quantum mechanics

Victor Yu. Podlipchuk

Theoretical and Mathematical PhysicsFeb 1, 19903 citations

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

Mark Davidson

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.

Jan 1, 197957 citations

The stochastic approach to quantum mechanics

Walter Lehr

Jan 1, 19760 citations

The Formulation of Quantum Mechanics

Mark Davidson

The origin of the algebra of the non-commuting operators of quantum mechanics is explained in the general Fényes-Nelson stochastic models in which the diffusion constant is a free parameter.This is achieved by continuing the diffusion constant to imaginary values, a continuation which destroys the physical interpretation, but does not affect experimental predictions.This continuation leads to great mathematical simplification in the stochastic theory, and to an understanding of the entire mathematical formalism of quantum mechanics.It is more than a formal construction because the diffusion parameter is not an observable in these theories.The origin of the algebra of the non-commuting operators of quantum mechanics is explained in the general Fényes-Nelson stochastic models in which the diffusion constant is a free parameter.This is achieved by continuing the diffusion constant to imaginary values, a continuation which destroys the physical interpretation, but does not affect experimental predictions.This continuation leads to great mathematical simplification in the stochastic theory, and to an understanding of the entire mathematical formalism of quantum mechanics.It is more than a formal construction because the diffusion parameter is not an observable in these theories.

WORLD SCIENTIFIC eBooksMar 1, 19985 citations

The Formulation of Quantum Mechanics

The origin of the algebra of the non-commuting operators of quantum mechanics is explained in the general Fényes-Nelson stochastic models in which the diffusion constant is a free parameter.This is achieved by continuing the diffusion constant to imaginary values, a continuation which destroys the physical interpretation, but does not affect experimental predictions.This continuation leads to great mathematical simplification in the stochastic theory, and to an understanding of the entire mathematical formalism of quantum mechanics.It is more than a formal construction because the diffusion parameter is not an observable in these theories.The origin of the algebra of the non-commuting operators of quantum mechanics is explained in the general Fényes-Nelson stochastic models in which the diffusion constant is a free parameter.This is achieved by continuing the diffusion constant to imaginary values, a continuation which destroys the physical interpretation, but does not affect experimental predictions.This continuation leads to great mathematical simplification in the stochastic theory, and to an understanding of the entire mathematical formalism of quantum mechanics.It is more than a formal construction because the diffusion parameter is not an observable in these theories.

WORLD SCIENTIFIC eBooksSep 8, 20143 citations

A generalization of the Fényes — Nelson stochastic model of quantum mechanics

Related papers

A generalization of the Fényes — Nelson stochastic model of quantum mechanics

Related papers