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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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
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/27/8/084703

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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, 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.
AbstractList 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.
A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrodinger, Klein--Gordon and diffusion equations. This generalized equation is Lorentz invariant. The transport properties of electrons are found to be governed by the Schrodinger-like equation and not by the diffusion equation.
Author Arbab I. Arbab Hisham. M. Widatallah
AuthorAffiliation Department of Physics, Faculty of Science, University of Khartoum, PO Box 321, Khartoum 11115, Sudan Department of Physics, College of Science, Sultan Qaboos University, PO Box 36 Al-IKhod, Muscat 123, Oman
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Cites_doi 10.1002/andp.18551700105
10.1002/andp.19003060312
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References Kelland P (4) 1904
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Arbab A I (1) 2009; 8
Hamilton W R (2) 1844; 25
Jackson J D (5) 1975
Lawden D F (8) 1968
Bjorken J D (7) 1964
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Snippet A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrǒdinger,...
A generalized continuity equation extending the ordinary continuity equation is found using quanternions to show it is compatible with Dirac, Schrodinger,...
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SubjectTerms 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
Title On the Generalized Continuity Equation
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