On the Stochastic Origin of Quantum Mechanics
Quantum Physics
2017-10-25 v5 History and Philosophy of Physics
Abstract
The quantum Liouville equation, which describes the phase space dynamics of a quantum system of fermions, is analyzed from statistical point of view as a particular example of the Kramers-Moyal expansion. Quantum mechanics is extended to the relativistic domain by generalizing the Wigner-Moyal equation. Thus, an expression is derived for the relativistic mass in the Wigner quantum phase space presentation. The diffusion with an imaginary diffusion coefficient is also discussed. An imaginary stochastic process is proposed as the origin of quantum mechanics.
Keywords
Cite
@article{arxiv.1703.00140,
title = {On the Stochastic Origin of Quantum Mechanics},
author = {R. Tsekov},
journal= {arXiv preprint arXiv:1703.00140},
year = {2017}
}
Comments
The paper is dedicated to the 100th anniversary of David Bohm (1917-1992)