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Dissipative forces and the algebra of operators in stochastic quantum mechanics

Nivaldo Agostinho Lemos

Physics Letters AAug 1, 198015 citations

Stochastic physical origin of the quantum operator algebra and phase space interpretation of the Hilbert space formalism: The relativistic spin zero case

Christopher Dewdney, Peter Holland, Anastasios Kyprianidis +2 more

Physics Letters AJan 1, 198622 citations

A new formulation of stochastic theory and quantum mechanics

L. de la Peña-Auerbach

Physics Letters ASep 1, 196827 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

Hypothesis on the foundation of stochastic interpretations of quantum mechanics

Junichiro Fukai

Physics Letters AFeb 1, 19762 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 origin of the algebra of quantum operators in the stochastic formulation of quantum mechanics

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