1Department of Physics, Faculty of Science, University of Khartoum, PO Box 321, Khartoum 11115, Sudan 2Department of Physics, College of Science, Sultan Qaboos University, PO Box 36 Al-Khod, Muscat 123, Oman
On the Generalized Continuity Equation
Arbab I. Arbab1, Hisham. M. Widatallah2
1Department of Physics, Faculty of Science, University of Khartoum, PO Box 321, Khartoum 11115, Sudan 2Department of Physics, College of Science, Sultan Qaboos University, PO Box 36 Al-Khod, Muscat 123, Oman
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.
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.
Arbab I. Arbab;Hisham. M. Widatallah. On the Generalized Continuity Equation[J]. 中国物理快报, 2010, 27(8): 84703-084703.
Arbab I. Arbab, Hisham. M. Widatallah. On the Generalized Continuity Equation. Chin. Phys. Lett., 2010, 27(8): 84703-084703.
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2010, Vol. 27 
