G. N. Ord and A. S. Deakin, “Random Walks, Continuum Limits, and Schr?dinger’s Equation,” Physical Review A, Vol. 54, No. 5, 1996, 3772-3778. doi:10.1103/PhysRevA.54.3772
has been cited by the following article:
TITLE: Telegraph Equations and Complementary Dirac Equation from Brownian Movement
AUTHORS: Balwant Singh Rajput
KEYWORDS: Telegraph Equation; Dirac Equation; Brownian Motion; Analytic Continuation; Schrödinger Equation; Uncertainty Relations
JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9, September 24, 2012
ABSTRACT: Telegraph equations describing the particle densities in Brownian movement on a lattice site have been derived and it has been shown that the complementary classical Dirac equation appears naturally as the consequence of correlations in particle trajectories in Brownian movement. It has also been demonstrated that Heisenberg uncertainty relation between energy and time is the necessary and sufficient condition to transform this classical equation into usual Dirac’s relativistic quantum equation.