Classical random field viewpoint to Gorini-Kossakowski-Sudarshan-Lindblad equation and its linear and nonlinear generalizations
Quantum Physics
2013-03-27 v1 Mathematical Physics
math.MP
Probability
Abstract
We show that the basic equation of theory of open systems, Gorini-Kossakowski-Sudarshan-Lindblad equation, as well as its linear and nonlinear generalizations have a natural classical probabilistic interpretation - in the framework of prequantum classical statistical field theory. The latter gives an example of a classical probabilistic model (with random fields as subquantum variables) reproducing the basic probabilistic predictions of quantum mechanics.
Keywords
Cite
@article{arxiv.1303.6473,
title = {Classical random field viewpoint to Gorini-Kossakowski-Sudarshan-Lindblad equation and its linear and nonlinear generalizations},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:1303.6473},
year = {2013}
}