Time reversal in stochastic processes and the Dirac equation
- 6 July 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 69 (1) , 3-4
- https://doi.org/10.1103/physrevlett.69.3
Abstract
We consider the motion of a classical particle in (1+1)-dimensional space-time. Four probability distributions govern the trajectory of the particle; these give the probability of moving to the left or right in space while moving backwards or forwards in time. If these probabilities are randomly distributed and if the probability of moving backwards in time is related to the probability of moving forwards in time in a prescribed manner, then the master equations for these probabilities give rise to the Dirac equation without recourse to direct analytic continuation. In contrast, when a particle always moves forward in time, an analytic continuation is required to recover the Dirac equation.Keywords
This publication has 1 reference indexed in Scilit:
- Relativistic Extension of the Analogy between Quantum Mechanics and Brownian MotionPhysical Review Letters, 1984