On the Generalized Continuity Equation

On the Generalized Continuity Equation

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摘要 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, 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.

作者 Arbab I. Arbab Hisham. M. Widatallah

机构地区 Department of Physics Department of Physics

出处《Chinese Physics Letters》 SCIE CAS CSCD 2010年第8期117-120,共4页 中国物理快报（英文版）

分类号 O241.82 [理学—计算数学] TQ174.653 [化学工程—陶瓷工业]

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Chinese Physics Letters

2010年第8期

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On the Generalized Continuity Equation

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