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Abstract: A generalized continuity equation extending the ordinary continuity equationhas been found using quanternions. It is shown to be compatible with Dirac,Schrodinger, Klein-Gordon and diffusion equations. This generalized equation isLorentz invariant. The transport properties of electrons are found to begoverned by Schrodinger-like equation and not by the diffusion equation.



Author: Arbab I. Arbab, Hisham. M. Widatallah

Source: https://arxiv.org/







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