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 in | Chinese physics letters Vol. 27; no. 8; pp. 117 - 120 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
01.08.2010
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Subjects | |
Online Access | Get full text |
ISSN | 0256-307X 1741-3540 |
DOI | 10.1088/0256-307X/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. |
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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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CitedBy_id | crossref_primary_10_1016_j_ijleo_2016_10_111 crossref_primary_10_1088_1402_4896_ada319 crossref_primary_10_1515_cmb_2024_0016 crossref_primary_10_1016_j_applthermaleng_2024_123659 crossref_primary_10_1142_S0217984917500993 crossref_primary_10_2528_PIERM14090503 crossref_primary_10_1016_j_rinp_2023_106819 crossref_primary_10_1088_0256_307X_29_3_030304 crossref_primary_10_1139_cjp_2017_0080 crossref_primary_10_1016_j_ijleo_2021_168095 crossref_primary_10_4006_1_3570825 crossref_primary_10_1016_j_ijleo_2021_166550 crossref_primary_10_1209_0295_5075_94_50005 crossref_primary_10_3390_w14121952 crossref_primary_10_4236_jmp_2012_32022 crossref_primary_10_1088_0256_307X_29_11_114704 crossref_primary_10_1209_0295_5075_96_20002 crossref_primary_10_3390_math12142270 crossref_primary_10_1088_1674_1056_22_3_030301 |
Cites_doi | 10.1002/andp.18551700105 10.1002/andp.19003060312 |
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References | Kelland P (4) 1904 Tait P G (3) 1873 6 Arbab A I (9) 2009 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 10 |
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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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