On the generalized continuity equation

Arbab I. Arbab, HishaM M. Widatallah

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Abstract

A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrödinger, Klein-Gordon and diffusion equations. This generalized equation is Lorentz invariant. The transport properties of electrons are found to be governed by the Schrödinger-like equation and not by the diffusion equation.

Original languageEnglish
Article number084703
JournalChinese Physics Letters
Volume27
Issue number8
DOIs
Publication statusPublished - Aug 2010

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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