Abstract
Analytical solutions of the Schrödinger equation for the Rosen-Morse potential are presented for arbitrary orbital angular momentum quantum number by using an approximation for the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are approximately obtained. Three special cases the s-wave, the Eckart potential and the PT-symmetric Rosen-Morse potential are also investigated.
Similar content being viewed by others
References
Schiff, L.I.: Quantum Mechanics, 3rd edn. McGraw-Hill, New York (1955)
Landau, L.D., Lifshitz, E.M.: Quantum Mechanics, Non-Relativistic Theory, 3rd edn. Pergamon, Elmsford (1977)
Bayrak, O., Kocak, G., Boztosun, I.: J. Phys. A: Math. Gen. 39, 11521 (2006)
Qiang, W.C., Gao, Y., Zhou, R.S.: Cent. Eur. J. Phys. 6, 356 (2008)
Qiang, W.C., Dong, S.H.: Phys. Lett. A 368, 13 (2007)
Dong, S.H., Garcéa-Ravelo, J.: Phys. Scr. 75, 3007 (2007)
Diaf, A., Chouchaoui, A., Lombard, R.J.: Ann. Phys. 317, 354 (2005)
Dong, S.H., Qiang, W.C.: Int. J. Mod. Phys. A 23, 1537 (2008)
Bayrak, O., Boztosun, I.: J. Phys. A: Math. Gen. 39, 6955 (2006)
Qiang, W.C., Dong, S.H.: Phys. Lett. A 363, 169 (2007)
Rosen, N., Morse, P.M.: Phys. Rev. 42, 210 (1932)
Jia, C.S., Li, S.C., Li, Y., Sun, L.T.: Phys. Lett. A 300, 115 (2002)
Jia, C.S., Li, Y., Sun, Y., Liu, J.Y., Sun, L.T.: Phys. Lett. A 311, 115 (2003)
Compean, C.B., Kirchbach, M.: J. Phys. A: Math. Gen. 39, 547 (2006)
Ma, Z.Q., Gonzalez-Cisneros, A., Xu, B.W., Dong, S.H.: Phys. Lett. A 371, 180 (2007)
Lu, J.: Phys. Scr. 72, 349 (2005)
Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series and Products, 5th edn. Academic Press, San Diego (1994)
Eḡrifes, H., Demirhan, D., Büyükkılıç, F.: Phys. Scr. 60, 195 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Taşkın, F. Approximate Solutions of the Schrödinger Equation for the Rosen-Morse Potential Including Centrifugal Term. Int J Theor Phys 48, 2692–2697 (2009). https://doi.org/10.1007/s10773-009-0059-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-009-0059-1