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.
Similar content being viewed by others
References
Proca, G.A.: Alexandre Proca. Oeuvre Scientifique Publiée. S.I.A.G., Rome (1988). ISBN 2-9502854-0-6
Duffin, R.J.: Phys. Rev. Lett. 54, 1114 (1938)
Petiau, G. Mém. Cl. Sci., Acad. R. Belg., Coll. 8 16(2) (1936)
Kemmer, N.: Proc. R. Soc. A 173, 91 (1939)
Loide, R.-K., Ots, I., Saar, R.: J. Phys. A, Math. Gen. 30, 4005 (1997)
Havare, A., Yetkin, T.: Class. Quantum Gravity 19, 2783 (2002)
Salti, M., Havare, A.: Mod. Phys. Lett. A 6, 451–465 (2005)
Fischbach, E., Nieto, M.M., Primakoff, H., Scott, C.K.: Phys. Rev. D 9, 2183–2186 (1974)
Merad, M.: Int. J. Theor. Phys. 46, 2105 (2007)
Zarrinkamar, S., Rajabi, A.A., Rahimov, H., Hassanabadi, H.: Mod. Phys. Lett. A 26, 1621 (2011)
Kozak, R.E., Clark, B.C., Hama, S., Mishra, V.K., Mercer, R.L., Ray, L.: Phys. Rev. C 40, 5 (1989)
Sogut, K., Havare, A.: Phys. Scr. 82, 045013 (2010)
Chetouani, L., Merad, M., Boudjedaa, T., Lecheheb, A.: Int. J. Theor. Phys. 43, 1147 (2004)
Boutabia-Chéraitia, B., Boudjedaa, T.: Phys. Lett. A 338, 97 (2005)
Fuschich, W.I., Nikitin, A.G.: Symmetries of Equations of Quantum Mechanics. Allerton Press, New York (1994)
Krajcik, R.A., Nieto, M.M.: Am. J. Phys. 45, 818 (1977)
Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 10, 4049 (1974)
Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 11, 1442 (1975)
Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 11, 1459 (1975)
Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 13, 924 (1976)
Krajcik, R.A., Nieto, M.M.: Phys. Rev. D 15, 433 (1977)
Nedjadi, Y., Barrett, R.C., J. Phys. A, Math. Gen. 27, 4301 (1994)
Yasuk, F., Berkdemir, C., Berkdemir, A., Önem, C.: Phys. Scr. 71(4), 340–343 (2005)
Sogut, K., Havare, A.: Class. Quantum Gravity 23, 7129 (2006)
Kisel, V.V., Ovsiyuk, E.M., Red’kov, V.M., Tokarevskaya, N.G.: Act. Phys. Pol. B. 41 (2010)
Aharonov, Y., Bohm, D.: Phys. Rev. 115, 485 (1959)
Patil, S.H., Sen, K.D.: Phys. Lett. A 362, 109 (2007)
Sage, M., Goodisman, J.: Am. J. Phys. 53, 350 (1985)
Çetin, A.: Phys. Lett. A 372, 3852 (2008)
Nikiforov, A.F., Uvarov, V.B.: Special Function of Mathematical Physics. Birkhäuser, Basel (1988)
Tezcan, C., Sever, R.: Int. J. Theor. Phys. 48, 337 (2009)
Guertin, R.F., Wilson, T.L.: Phys. Rev. D 15, 1518 (1977)
Gasiorowicz, S.: Quantum Physics. Wiley, New York (2003)
Goldman, I.I., Krivchenkov, V.D.: Problems in Quantum Mechanics. Pergamon, New York (1961)
Weissman, Y., Jortner, J.: Phys. Lett. A 70, 177 (1979)
Seze, M.L.: Chem. Phys. 87, 431 (1984)
Erkoç, S., Sever, R.: Phys. Rev. A 37, 2687 (1988)
Szego, G.: Orthogonal Polynomials. Am. Math. Soc., New York (1959) (revised edition)
Greiner, W.: Relativistic Quantum Mechanics: Wave Equations, 3rd edn. Springer, Berlin (2000)
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
Corresponding author
Rights 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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-012-9690-4