M. Kac, B. Gaveau, T. Jacobson and L. Schulman, “Relativistic Extension of the Analogy between Quantum Mechanics and Brownian Motion,” Physical Review Letters, 53, No. 5, 1984, pp. 419-422.

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.