Derivation of Dirac, Klein-Gordon, Schrödinger, diffusion and quantum heat transport equations from a universal quantum wave equation
Department of Physics, Faculty of Science, University of Khartoum - P.O. Box 321, Khartoum 11115, Sudan
Accepted: 28 October 2010
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.
PACS: 03.65.-w – Quantum mechanics / 31.30.J- – Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions / 03.65.Ge – Solutions of wave equations: bound states
© EPLA, 2010