Relativistic Brownian Motion in 3+1 Dimensions
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
math.MP
Probability
Quantum Physics
Abstract
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of d'Alembert form. Treating the spacelike and timelike fluctuations separately in order to maintain the covariance property, we show that it is essential to take into account the analytic continuation of "unphysical" fluctuations. We discuss the notion of locality in this framework and possible implications for entangled states.
Cite
@article{arxiv.math-ph/0312003,
title = {Relativistic Brownian Motion in 3+1 Dimensions},
author = {O. Oron and L. P. Horwitz},
journal= {arXiv preprint arXiv:math-ph/0312003},
year = {2007}
}
Comments
19 pages Latex, one figure ps