Potential Dependent Frictional Schrodinger Equation
Keywords:
friction, string, harmonic oscillator, radioactive decay law, collision probability.Abstract
By treating particles as harmonic oscillator is obtained the friction energy related to the momentum. The energy and the corresponding Newtonian operator is found. This result in a new Schrodinger equation accounting for the effect of friction. This new equation shows that the energy and mass are quantized, if one treats particles as strings. The radioactive decay law and collision probability is also derived.
References
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[2]. Richard P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw–Hill, ISBN-10: 0070206503, (1965).
[3]. B. Bhushan, In Tribology and Mechanics of Magnetic Storage Devices, 2nd ed., Springer- verlag, New York, ISBN-13:978-1-4612-7517-6, (1990).
[4]. RoumenTsekov, Quantum friction, Chin. Phys. Lett. 29. 120504 [arXiv 1203.2421], DOI: 10.1088/0256-307X/29/12/120504,( 2012).
[5]. T. Srokowski, Position Dependent Friction In Quantum Mechanics , Institute of Nuclear Physics, Radzikoirskiego 152, PL-31-342 , unpublished, Kraków, Poland, (1972).
[6]. Nouredine Zettili, Quantum Mechanics Concepts and Applications, 2nd ed, Jacksonville State University, Jacksonville, USA, ISBN: 978-0-470-02678-6, (2009).
[7]. G. Aruldhas, Quantum Mechanics, 2nd ed, PHI leaming private limited. New Delhi, ISBN 10: 8120336356, (2009).
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Published
2018-01-07
How to Cite
A. Mohamed, E., Dirar, M., A. I. Hammad, I., Elfaki, A., & Alfaki, I. (2018). Potential Dependent Frictional Schrodinger Equation. American Scientific Research Journal for Engineering, Technology, and Sciences, 39(1), 10–18. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/3700
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