Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Similares en SciELO
Compartir
Revista mexicana de física
versión impresa ISSN 0035-001X
Rev. mex. fis. vol.59 no.1 México ene./feb. 2013
Investigación
Bound state solutions of schrodinger equation with modified hylleraas plus exponential rosen morse potential
A.N. Ikota, A.D. Antiaa, I.O. Akpanb, and O.A. Awogaa
a Theoretical Physics Group, Department of Physics, University of Uyo-Nigeria, e-mail: ndemikot2005@yahoo.com; antiacauchy@yahoo.com.
b Department of Physics, University of Calabar, Nigeria.
Recibido el 2 de mayo de 2012
Aceptado el 22 de octubre de 2012
Abstract
We present solutions of the Schrödinger equation with modified Hylleraas plus exponential Rosen Morse potential within the framework of the elegant approximation to deal with the centrifugal term for arbitrary orbital angular quantum number. We obtain the energy spectrum and the corresponding wave function using the parametric form of the Nikiforov-Uvarov method. In many cases of interest the energy eigenvalues and eigen functions have been discussed for different potentials.
Keywords: Nikiforov-Uvarov method; Schrodinger equation; centrifugal term.
PACS: 03.65Ge; 03.65-w; 03.65Ca
DESCARGAR ARTÍCULO EN FORMATO PDF
References
1. A.N. Ikot, Afr. Rev. Phys. 6 (2011) 221. [ Links ]
2. H. Hassanabadi, S. Zarvinkamar and A. A. Rajabi, Commin Theor. Phys. 55 (2011) 541. [ Links ]
3. W.C. Qiang and S.H. Dong, Phys. Ser. 79 (2009) 045004. [ Links ]
4. S. Dong, Garcia-Ravalo and S.H. Dong, Phys. Ser. 76 (2007) 393. [ Links ]
5. S.H. Dong and J. Garcia-Ravalo, Phys. Ser. 70 (2007) 307. [ Links ]
6. A.N. Ikot and L.E. Akpabio and J.A. Obu, J. Vect. Relat. 6 (2011) 1. [ Links ]
7. W.A. Yahaya, K.J. Oyewumi and Akoshile, and T.T. Ibrahim, J. Vect Relat. 5 (2010). [ Links ]
8. S.M. Ikhadair and M. Sever, arxiv: quart-Ph/0909-11218 (2009). [ Links ]
9. K.J. Oyewumi and A.W. Ogunsola, J. Pure Appl. Sci. 10 (2004) 343. [ Links ]
10. S. Dong and S. H. Dong, Phys. Scr. 66 (2002) 342-344. [ Links ]
11. C. Berkdemir, A. Berkdemir and R. Sever, Phys Rev. C 72 (2005) 027001. [ Links ]
12. F. Dominguez-Adame, Phys. Lett. A 136 (1989) 175. [ Links ]
13. Y.C. Chen, F.L. Lu and D.S. Sun, Phys. Ser. 76 (2007) 428. [ Links ]
14. C.S. Jia, X.L. Zeng and L.T. Sun, Phys. Lett A 294 (2002) 185. [ Links ]
15. J. Lu, Phys. Ser. 72 (2005) 349. [ Links ]
16. R.L. Greene and C. Aldrich, Phys. Rev A 14 (1976) 2363. [ Links ]
17. C.S. Jia, T. Chen and L.G. Cui, Phys. Lett. A 373 (2009) 1621. [ Links ]
18. E.H. Hill, Am J. Phys. 22 (1954) 1712, [ Links ] R. Oudi, S. Hassanabadi, A. A. Rajabi and H. Hasanabadi, Commun Theor. Phys. 57 (2007) 15-18. [ Links ]
19. G.F. Wei and S.H. Dong, Phys. Lett A 373 (2008) 49-53. [ Links ]
20. A. Arda, R. Sever and C. Tezcan, Chin. J. Phys. 48 (2010) 2737. [ Links ]
21. A. Arda and R. Sever, Commun. Theor. Phys. 56 (2011) 51-54. [ Links ]
22. L.Z. Yi, Y.F. Diao, J.Y. Liu, C.S. Jia, Phys. Lett. A 333 (2004) 212. [ Links ]
23. E.A. Hylleraas, J. Chem. Phys. 3 (1935) 595; [ Links ] V.P. Varshni, Rev. Mod. Phys. 29 (1957) 664-682. [ Links ]
24. S. Debnath and B. Biswas, EJTP 9 (2012) 191-198. [ Links ]
25. A.F. Nikiforov and V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basel, 1988). [ Links ]
26. G. Tezcan and R. Sever, Int. J. Theor. Phys 47 (2008) 1471. [ Links ]
27. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, (Non-Relativistic Theory Oxford, Pergaman, 1977) [ Links ]
28. L. I. Schiff, Quantum Mechanics 3rd Edition (New York, McGraw-Hill, 1955) [ Links ]
29. A. Berkdemmir, C. Berkdemir, and R. Sever Mod. Phys. Lett. A 21 (2006) 2087. [ Links ]
30. C. Berkemir, A. Berkdemir, and R. Sever, J. Phys. A: Math. Gen. 39 (2006) 13455. [ Links ]
31. S.H. Dong and R. Lemus, Int. J. Quant. Chem. 86 (2002) 265-272. [ Links ]
32. A. Soylu O. Bayrak and I. Boztosun, J. Phys. A: Math Theor. 41 (2008) 065308. [ Links ]
33. I.S. Gradshtein, I.M. Ryzhik, Tables of Integrals (Series and Products, Academic New York, 1969). [ Links ]
34. S.M. Ikhdair and R. Sever, Appl.Math.Comp. 216 (2010) 911. [ Links ]