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Relativistic effect of external magnetic and Aharonov-Bohm fields on the unequal scalar and vector Cornell model

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Abstract

The Cornellpotential consists of linear and Coulomb potentials, i.e. −a/r+br, and has attracted a great deal of attention in particle physics. In this article, we study the energy levels and the wave function for an arbitrary m-state in the two-dimensional (2D) Klein-Gordon (KG) equation with the unequal scalar-vector Cornell potentials under the influence of strong external uniform magnetic and Aharonov-Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We use the wave function ansatz method to solve the radial problem of the KG equation with the Cornell potential. We obtain the energy levels in the absence of external fields and also find the energy levels of the familiar Coulomb and harmonic oscillator potentials.

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References

  1. A.W. Thomas, W. Weise, Structure of the Nucleon (Wiley-VCH, Berlin, 2001).

  2. B. Thaller, The Dirac Equation (Springer-Verlag, New York, 1992).

  3. G. Chen, Z.D. Chen, X.L. Peng, Phys. Lett. A 352, 317 (2006).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. A. de Souza Dutra, G. Chen, Phys. Lett. A 349, 297 (2006).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. A.S. de Castro, Phys. Lett. A 338, 81 (2005).

    Article  ADS  MATH  Google Scholar 

  6. S.M. Ikhdair, Eur. Phys. J. A 40, 143 (2009).

    Article  ADS  Google Scholar 

  7. Z.Q. Ma, S.H. Dong, X.Y. Gu, J. Yu, Int. J. Mod. Phys. E 13, 597 (2004).

    Article  ADS  Google Scholar 

  8. W.C. Qiang, R.S. Zhou, Y. Gao, Phys. Lett. A 371, 201 (2007).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. A. Arda, R. Sever, C. Tezcan, Phys. Scr. 79, 015006 (2009).

    Article  ADS  Google Scholar 

  10. S.M. Ikhdair, R. Sever, Phys. Scr. 79, 035002 (2009).

    Article  ADS  Google Scholar 

  11. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995).

    Article  MathSciNet  ADS  Google Scholar 

  12. B. Bagchi, A. Banerjee, C. Quesne, V.M. Tkachuk, J. Phys. A: Math. Gen. 38, 2929 (2005).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. R. De, R. Dutt, U. Sukhatme, J. Phys. A: Math. Gen 25, L843 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  14. N. Kandirmaz, R. Sever, Phys. Scr. 81, 035302 (2010).

    Article  ADS  Google Scholar 

  15. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A: Math. Gen. 36, 11807 (2003).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. H. Ciftci, R.L. Hall, N. Saad, Phys. Lett. A 340, 338 (2005).

    Article  ADS  Google Scholar 

  17. Z.Q. Ma, B.W. Xu, Europhys. Lett. 69, 685 (2005).

    Article  ADS  Google Scholar 

  18. W.C. Qiang, G.H. Sun, S.H. Dong, Ann. Phys. (Berlin) 524, 360 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  19. M. Bag, M.M. Panja, R. Dutt, Y.P. Varshni, Phys. Rev. A 46, 6059 (1992).

    Article  ADS  Google Scholar 

  20. S.M. Ikhdair, R. Sever, Int. J. Mod. Phys. A 21, 6465 (2006).

    Article  ADS  MATH  Google Scholar 

  21. C. Quigg, J.L. Rosner, Phys. Rep. 56, 167 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  22. M. Chaichian, R. Kokerler, Ann. Phys. (N.Y.) 124, 61 (1980).

    Article  ADS  Google Scholar 

  23. A.A. Bykov, I.M. Dremin, A.V. Leonidov, Sov. Phys. Usp. 27, 321 (1984).

    Article  ADS  Google Scholar 

  24. G. Plante, A.F. Antippa, J. Math. Phys. 46, 062108 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  25. S.C. Chhajlany, A. Letov, Phys. Rev. A 44, 4725 (1991).

    Article  ADS  Google Scholar 

  26. J.D. Stack, Phys. Rev. D 29, 1213 (1984).

    Article  ADS  Google Scholar 

  27. G.S. Bali, K. Schilling, A. Wachter, Phys. Rev. D 56, 2566 (1997).

    Article  ADS  Google Scholar 

  28. D. Bessis, E.R. Vrscay, C.R. Handy, J. Phys. A: Math. Gen. 20, 419 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  29. Z. Ghalenovi, A.A. Rajabi, M. Hamzavi, Acta Phys. Pol. B 42, 1849 (2011).

    Article  Google Scholar 

  30. S.H. Dong, Phys. Scr. 65, 289 (2002).

    Article  ADS  MATH  Google Scholar 

  31. S.H. Dong, Z.Q. Ma, G. Sposito, Found Phys. Lett. 12, 465 (1999).

    Article  MathSciNet  Google Scholar 

  32. S.H. Dong, Int. J. Theor. Phys. 40, 559 (2001).

    Article  MATH  Google Scholar 

  33. W. Greiner, Relativistic Quantum Mechanics: Wave Equations (Springer-Verlag, Berlin, 2000).

  34. A.D. Alhaidari, H. Bahlouli, A. Al-Hasan, Phys. Lett. A 349, 87 (2006).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. R. Khordad, Solid State Sci. 12, 1253 (2010).

    Article  ADS  Google Scholar 

  36. S.M. Ikhdair, M. Hamzavi, Chin. Phys. B 21, 110302 (2012).

    Article  Google Scholar 

  37. S.Yu. Slavyanov, W. Lay, Special Functions: A Unified Theory Based on Singularities (Oxford University Press, New York, 2000).

  38. E.R. Figueiredo Medeiros, E.R. Bezerra de Mello, Eur. Phys. J. C 72, 2051 (2012).

    Article  ADS  Google Scholar 

  39. M. Hamzavi, A.A. Rajabi, Commun. Theor. Phys. 55, 35 (2011).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. S.M. Ikhdair, M. Hamzavi, Physica B 407, 4797 (2012).

    Article  ADS  Google Scholar 

  41. Y. Boumedjane, H. Saidi, S. Hassouni, A. Zerarka, Appl. Math. Comput. 194, 243 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  42. S.M. Ikhdair, J. Abu-Hasna, Phys. Scr. 83, 025002 (2011).

    Article  ADS  Google Scholar 

  43. S.M. Ikhdair, R. Sever, J. Math. Chem. 45, 1137 (2009).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    Ali Akbar Rajabi & Majid Hamzavi

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  1. Ali Akbar Rajabi
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  2. Majid Hamzavi
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Correspondence to Majid Hamzavi.

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Akbar Rajabi, A., Hamzavi, M. Relativistic effect of external magnetic and Aharonov-Bohm fields on the unequal scalar and vector Cornell model. Eur. Phys. J. Plus 128, 5 (2013). https://doi.org/10.1140/epjp/i2013-13005-5

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  • DOI: https://doi.org/10.1140/epjp/i2013-13005-5

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