Variational Principle of Hydrodynamics and Quantization by Stochastic Process
Quantum Physics
2015-01-07 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Nuclear Theory
Abstract
The well-known hydrodynamical representation of the Schr\"{o}dinger equation is reformulated by extending the idea of Nelson-Yasue's stochastic variational method. The fluid flow is composed by the two stochastic processes from the past and the future, which are unified naturally by the principle of maximum entropy. We show that this formulation is easily applicable to the quantization of scalar fields.
Cite
@article{arxiv.1412.6472,
title = {Variational Principle of Hydrodynamics and Quantization by Stochastic Process},
author = {T. Kodama and T. Koide},
journal= {arXiv preprint arXiv:1412.6472},
year = {2015}
}
Comments
13 pages, no figure, references were added