Derivation of Dirac, Klein-Gordon, Schrödinger, diffusion and quantum heat transport equations from a universal quantum wave equation

Published 16 November 2010 Europhysics Letters Association
, , Citation A. I. Arbab 2010 EPL 92 40001 DOI 10.1209/0295-5075/92/40001

0295-5075/92/4/40001

Abstract

A universal quantum wave equation that yields Dirac, Klein-Gordon, Schrödinger and quantum heat equations is derived. These equations are related by complex transformation of space, time and mass. The new symmetry exhibited by these equations is investigated. The universal quantum equation yields the Dirac equation in two ways: firstly by replacing the particle mass m0 by im0, and secondly by changing space and time coordinates by it and , respectively.

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