On the Generalized Continuity Equation

A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrǒdinger, Klein-Gordon and diffusion equations. This generalized equation is Lorentz invariant. The transport properties of electrons are found to be gover...

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Bibliographic Details
Published inChinese physics letters Vol. 27; no. 8; pp. 117 - 120
Main Authors Arbab, Arbab I, Widatallah, Hisham. M
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2010
Subjects
Compatibility
Continuity equation
Diffusion
Invariants
Mathematical analysis
Schroedinger equation
Transport properties
克莱因
广义
扩散方程
洛仑兹
狄拉克
电子输运特性
薛定谔
连续性方程
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/27/8/084703

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Summary:A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrǒdinger, Klein-Gordon and diffusion equations. This generalized equation is Lorentz invariant. The transport properties of electrons are found to be governed by the Schr6dinger-like equation and not by the diffusion equation.
Bibliography:11-1959/O4
TQ174.653
O241.82
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/27/8/084703