| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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 |
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| Cite this article: |
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Arbab I. Arbab, Hisham. M. Widatallah 2010 Chin. Phys. Lett. 27 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, 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.
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| Keywords:
47.10.A-
47.75.+f
47.90.+a
47.10.-g
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Received: 09 November 2009
Published: 28 July 2010
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| PACS: |
47.10.A-
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(Mathematical formulations)
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47.75.+f
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(Relativistic fluid dynamics)
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47.90.+a
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(Other topics in fluid dynamics)
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47.10.-g
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(General theory in fluid dynamics)
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[1] Arbab A I and Satti Z A 2009 Prog. Phys. 8 2
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Kelland P and Tait P G 1904 Introduction to Quaternions 3rd edn (London: Macmillan)
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[5] Drude P 1900 Annalen der Physik 306 566
[6] Bjorken J D and Drell S D 1964 Relativistic Quantum Mechanics (New York: McGraw-Hill)
[7] Lawden D F 1968 Tensor Calculus and Relativity (London: Methuen)
[8] Arbab A I 2009 14th International Conference on Modelling Fluid Flow (CMFF'09) (Budapest, Hungary 9-12 September 2009)
[9] Fick A 1855 Ann. Phys. (Leipzig) 170 59
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