Skip to main content
Log in

Exact Solutions of the Duffin-Kemmer-Petiau Equation with a Pseudoharmonic Potential in the Presence of a Magnetic Field in (1+2) Dimensions

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We will consider the relativistic Duffin-Kemmer-Petiau equation in the presence of a pseudoharmonic potential in a magnetic field in the (1+2)-dimensional space-time for spin-one particles. To derive the energy eigenvalues and corresponding eigenfunctions, the analytical Nikiforov-Uvarov Method is used and some explanatory figures are included.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Proca, G.A.: Alexandre Proca. Oeuvre Scientifique Publiée. S.I.A.G., Rome (1988). ISBN 2-9502854-0-6

    Google Scholar 

  2. Duffin, R.J.: Phys. Rev. Lett. 54, 1114 (1938)

    ADS  Google Scholar 

  3. Petiau, G. Mém. Cl. Sci., Acad. R. Belg., Coll. 8 16(2) (1936)

  4. Kemmer, N.: Proc. R. Soc. A 173, 91 (1939)

    Article  MathSciNet  ADS  Google Scholar 

  5. Loide, R.-K., Ots, I., Saar, R.: J. Phys. A, Math. Gen. 30, 4005 (1997)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Havare, A., Yetkin, T.: Class. Quantum Gravity 19, 2783 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Salti, M., Havare, A.: Mod. Phys. Lett. A 6, 451–465 (2005)

    Article  ADS  Google Scholar 

  8. Fischbach, E., Nieto, M.M., Primakoff, H., Scott, C.K.: Phys. Rev. D 9, 2183–2186 (1974)

    Article  ADS  Google Scholar 

  9. Merad, M.: Int. J. Theor. Phys. 46, 2105 (2007)

    Article  MATH  Google Scholar 

  10. Zarrinkamar, S., Rajabi, A.A., Rahimov, H., Hassanabadi, H.: Mod. Phys. Lett. A 26, 1621 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  11. Kozak, R.E., Clark, B.C., Hama, S., Mishra, V.K., Mercer, R.L., Ray, L.: Phys. Rev. C 40, 5 (1989)

    Google Scholar 

  12. Sogut, K., Havare, A.: Phys. Scr. 82, 045013 (2010)

    Article  ADS  Google Scholar 

  13. Chetouani, L., Merad, M., Boudjedaa, T., Lecheheb, A.: Int. J. Theor. Phys. 43, 1147 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  14. Boutabia-Chéraitia, B., Boudjedaa, T.: Phys. Lett. A 338, 97 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Fuschich, W.I., Nikitin, A.G.: Symmetries of Equations of Quantum Mechanics. Allerton Press, New York (1994)

    Google Scholar 

  16. Krajcik, R.A., Nieto, M.M.: Am. J. Phys. 45, 818 (1977)

    Article  ADS  Google Scholar 

  17. Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 10, 4049 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  18. Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 11, 1442 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  19. Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 11, 1459 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  20. Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 13, 924 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  21. Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 15, 433 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  22. Nedjadi, Y., Barrett, R.C., J. Phys. A, Math. Gen. 27, 4301 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Yasuk, F., Berkdemir, C., Berkdemir, A., Önem, C.: Phys. Scr. 71(4), 340–343 (2005)

    Article  ADS  Google Scholar 

  24. Sogut, K., Havare, A.: Class. Quantum Gravity 23, 7129 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Kisel, V.V., Ovsiyuk, E.M., Red’kov, V.M., Tokarevskaya, N.G.: Act. Phys. Pol. B. 41 (2010)

  26. Aharonov, Y., Bohm, D.: Phys. Rev. 115, 485 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. Patil, S.H., Sen, K.D.: Phys. Lett. A 362, 109 (2007)

    Article  ADS  Google Scholar 

  28. Sage, M., Goodisman, J.: Am. J. Phys. 53, 350 (1985)

    Article  ADS  Google Scholar 

  29. Çetin, A.: Phys. Lett. A 372, 3852 (2008)

    Article  ADS  MATH  Google Scholar 

  30. Nikiforov, A.F., Uvarov, V.B.: Special Function of Mathematical Physics. Birkhäuser, Basel (1988)

    Google Scholar 

  31. Tezcan, C., Sever, R.: Int. J. Theor. Phys. 48, 337 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  32. Guertin, R.F., Wilson, T.L.: Phys. Rev. D 15, 1518 (1977)

    Article  ADS  Google Scholar 

  33. Gasiorowicz, S.: Quantum Physics. Wiley, New York (2003)

    MATH  Google Scholar 

  34. Goldman, I.I., Krivchenkov, V.D.: Problems in Quantum Mechanics. Pergamon, New York (1961)

    Google Scholar 

  35. Weissman, Y., Jortner, J.: Phys. Lett. A 70, 177 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  36. Seze, M.L.: Chem. Phys. 87, 431 (1984)

    Article  ADS  Google Scholar 

  37. Erkoç, S., Sever, R.: Phys. Rev. A 37, 2687 (1988)

    Article  ADS  Google Scholar 

  38. Szego, G.: Orthogonal Polynomials. Am. Math. Soc., New York (1959) (revised edition)

    Google Scholar 

  39. Greiner, W.: Relativistic Quantum Mechanics: Wave Equations, 3rd edn. Springer, Berlin (2000)

    MATH  Google Scholar 

Download references

Acknowledgements

It is a great pleasure for us to thank the referees for their careful comments on our manuscript. This work is supported by the talented office of Semnan University.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Hassanabadi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hassanabadi, H., Molaee, Z. & Boumali, A. Exact Solutions of the Duffin-Kemmer-Petiau Equation with a Pseudoharmonic Potential in the Presence of a Magnetic Field in (1+2) Dimensions. Found Phys 43, 225–235 (2013). https://doi.org/10.1007/s10701-012-9690-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-012-9690-4

Keywords

Navigation