Quantum Mechanical versus Stochastic Processes in Path Integration
Quantum Physics
2018-01-04 v1 High Energy Physics - Theory
Abstract
By using path integrals, the stochastic process associated to the time evolution of the quantum probability density is formally rewritten in terms of a stochastic differential equation, given by Newton's equation of motion with an additional multiplicative stochastic force. However, the term playing the role of the stochastic force is defined by a non-positive-definite probability functional, providing a clear example of the negative (or "extended") probabilities characteristic of quantum mechanics.
Cite
@article{arxiv.1801.00510,
title = {Quantum Mechanical versus Stochastic Processes in Path Integration},
author = {Marco Patriarca},
journal= {arXiv preprint arXiv:1801.00510},
year = {2018}
}
Comments
7 pages, 1 figure. Revised version of the contribution to PI'98, the 6th International Conference on "Path Integrals from peV to TeV: 50 years from Feynman's paper", August 25th-29th 1998, Florence, Italy