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Ugwu et al

By Ugwu, EI; Rilwan, U; Bello, R (2022).

Greener Journal of Physical Sciences

Vol. 8(1), pp. 1-4, 2022

ISSN: 2276-7851

Copyright ©2022, the copyright of this article is retained by the author(s)

https://gjournals.org/GJPS

 

 

 

 

 

 

Analytical Study of the Behavioral Trend of charged particles interacting with Electromagnetic Field: Klein-Gordon/Dirac Equation

 

 

Emmanuel Ifeanyi Ugwu1*; Usman Rilwan1; Rasaq Bello2

 

 

1. Department of Physics, Nigerian Army University, No.1 Biu- Gombe Road, P.M.B 1500, Biu, Nigeria.

2. Department of Physics, Federal University of Kashere, Gombe, Nigeria.

 

 

 

ARTICLE INFO

ABSTRACT

 

Article No.: 020722016

Type: Research

Full Text: PDF, HTML, PHP, EPUB

 

The analysis of the behavioral trend of particle using Klein-Gordon and Dirac equation that was minimally coupled to electromagnetic wave four-vector potential has been carried out. In the analysis, it was clearly observed that each of them has non-relativistic limit at one stage or the other and based on this limitation, there is a great challenge posed on the idea of single particle interpretation since in each case there is a particle and an anti-particle. It therefore reveals the fact that there is no conceptually real existence of single particle in isolation when it comes to relativistic quantum mechanics for any of the equations being used to study the interaction of particle with electromagnetic field.

 

 

Accepted:  08/02/2022

Published: 31/03/2022

 

*Corresponding Author

Prof. Emmanuel Ifeanyi Ugwu

E-mail: ugwuei2@ gmail.com

 

Keywords:

Analysis, charged particle, interaction, behaviour, Electromagnetic field, Relativistic Quantum mechanics, Couple. Potential.

 

 

 

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REFERENCES

 

[1] A.I. Akhiezer and V.B. Berestetskii (1965), Quantum Electrodynamics, Dover Science Publisher

 

[2] W Greiner,(1987) Relativistic  Quantum  Mechanics, wave equations ,Springer, Verlag.

 

[3] V.M Simulk and I. Yu Krivs ki (2014) Link between the Relativistic canonical quatum mechanics and the Dirac equation, Uni J. Phys. Appl 2 115

 

[4]  E.S Frandkin,  D.M Gitman and  M.Sh (1991) Quantum Electrodynamic with Unstable Vacuum ( Spriger Verlag, berlin Heidelberg,

 

[5] E.I.Ugwu and M.I Echi (2013) Analytical Study of Band Structure of Material using Relativistic Concept. Journal of Applied Mathematics, 4 (9) 1287-1289

 

[6] M.D Fedorov ( 1997) Atomic and free Electron in  a Srong laser field ( world Scientific, Singapore

 

[7] M.Boca and V. Florescu (2011)On the properties of the Volkov solutions of the Klein-Gordon equation J.Phys.A;Math.Phys. 14 1481-1484

 

[8] L.V. Keldish  (1964)  Ionization in the field of strong  electromagnetic  wave   Zh. Ekp Teor Fiz(U.S.S R) 47 1945-1947 [Sov. Phys. JETP 20 1307-1314 (1965)]

 

[9] F.E Bunkin and M.V. Fedorov (1965) Bremsstralung in a stong  radiation  field .Zh.EKSP. fiz(U.SS.R) 49  1215-1221 [ Sov.Phys.JETP 22844-847 (1966)

 

[10] L.S Brown and T.W.BKibble (1964) Interaction of intense laser beams withelectrons. Phys. Rev. 133 A  705-A 719

 

[11] J.H.Eberly (1969) Interactionof very intense light with free electrons. Progree in Optics VII (Ed.E.Wolf) pp359-415

 

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[13] V,G.Bagrov and  D.M. Gitman  (1990) Exact solution of relativistic  Wave Equation Dordrecht)

 

[14] V. G Bagrov and D.M Gitman (2014) The Dirac Equation and its solution (Boston; De Gruyter

 

 

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[16] M.V. Fedorov and A.E. Kazakov (1973) An electron in a quantized plane planes wave and in a constant magnetic field .Zeitschrift fur  Physik 261 191-202

 

[17]  I.Y.Berson and J. Valdmanis(1973)   Electron in the two field of two monochromatic electromagnetic waves. J. Math. Phys 14 141481-1484

 

[18] V.M Simulk and I. Yu Krivs ki (2014) Link between the Relativistic canonical quatum mechanics and the Dirac equation, Uni J. Phys. Appl 2 115

 

[19] Yu. Sitenko and S.A.  Yushchenko (2014) The Casimir effect with quantized charged scalar matter in background  magnetic field. Int J. Mod Phy A 29 1450052

 

[20] W. Becker (1977) Relativistic charged particles in the field of an electromagnetic plane wave medium. Physica A 87 601-613

 

[21] A.I Breev, and A.V Shpapovalov (2016) The Dirac Equation in an external electromagnetic Field: Symmetry algebra and exact Integration, Journal of Physics; Conference Series 670 (2016) 012115

 


 

Cite this Article: Ugwu, EI; Rilwan, U; Bello, R (2022). Analytical Study of the Behavioral Trend of charged particles interacting with Electromagnetic Field: Klein-Gordon/Dirac Equation. Greener Journal of Physical Sciences, 8(1): 1-4.

 

 


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