Quantum mechanics as an approximation of statistical mechanics for classical fields
Abstract
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables. The quantum contribution is given by the term of the second order. To escape technical difficulties, we start with the finite dimensional quantum mechanics. In our approach quantum mechanics is an approximative theory. It predicts statistical averages only with some precision. In principle, there might be found deviations of averages calculated within the quantum formalism from experimental averages (which are supposed to be equal to classical averages given by our model).
Cite
@article{arxiv.cond-mat/0506077,
title = {Quantum mechanics as an approximation of statistical mechanics for classical fields},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:cond-mat/0506077},
year = {2009}
}
Comments
Talks at the conferences: "Quantum Theory: Reconsideration of Foundations-3", Vaxjo, Sweden, June-2005; "Processes in Physics", Askloster, Sweden, June-2005; "The nature of light: What is photon?", San-Diego, August-2005; "Nonlinear Physics. Theory and Experiment", Lece, Italy, July-2006