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Telegraph Equations and Complementary Dirac Equation from Brownian Movement
Physics Department, Kumaon University, Nainital, India
- 1 Physics Department, Kumaon University, Nainital, India
Journal of Modern Physics·Volume 03 (2012)·Pages 989–993·Published 24 September 2012·DOI10.4236/jmp.2012.39128
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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.
KeywordsTelegraph EquationDirac EquationBrownian MotionAnalytic ContinuationSchrödinger EquationUncertainty Relations
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