Derivation of Klein – Gordon Equation for Frictional Medium
Keywords:
Friction, lasing, Klien-Gordon equation, conductivity.Abstract
The expression for a wave function in a conducting medium together with relativistic energy momentum relation is used to derive Klien - Gordon equation for frictional medium. This equation reduces to the ordinary Klein- Gordon equation in free space. For good conducted lasing is possible. The amplification coefficient is proportional to conductivity.
References
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[2]. Nouredine Zettili, “Quantum Mechanics Concepts and Applications“, 2nd ed, Jacksonville State University, Jacksonville, USA, 2009.
[3]. G. Aruldhas, “Quantum Mechanics“, 2nd ed, PHI leaming private limited. New Delhi, 2009.
[4]. P. Roman, “Introduction to Quantum Field Theory“, John Wiley and Sons, New York, 1969.
[5]. David S.Saxson, “Elementary Quantum Mechanics“, Dovered. P.cm, 2012.
[6]. Richard P. Feynman and A. R. Hibbs, “Quantum Mechanics and Path Integrals“, McGraw–Hill, 1965.
[7]. B. Bhushan, “In Tribology and Mechanics of Magnetic Storage Devices, 2nd ed., Springer- verlag , New York,1990.
[8]. Roumen Tsekov, “Quantum friction“, Chin. Phys. Lett. 29 . 120504 [arXiv 1203.2421], 2012.
[9]. T. Srokowski, “Position Dependent Friction In Quantum Mechanics“ , Institute of Nuclear Physics, Radzikoirskiego 152, PL-31-342 , unpublished, Kraków, Poland,1972.
[10]. G. E. Dieter, “Mechanical Metallurgy“, Third Edition, McGraw-Hill, New York, 1986.
[11]. Mubarak Ibrahim et al, “Quantum Relativistic Equation And String Mass Quantization“, International Journal Of Engineering Sciences and Research Technology,4(10), 2015.
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Published
2017-11-12
How to Cite
Haroun, K. M., Yagob, A. A. M., & Abd Allah, M. D. (2017). Derivation of Klein – Gordon Equation for Frictional Medium. American Scientific Research Journal for Engineering, Technology, and Sciences, 38(1), 1–6. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/3526
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