Abstract
By applying the NU method and an approximation to the centrifugal term, we have solved the Schrödinger equation in D-dimensions for the Möbius square potential which in some particular cases gives the Morse and Hulthén potentials. The eigenfunctions as well as the energy eigenvalues are obtained and some expectation values are reported. The important parameter of oscillator strength is obtained and discussed in terms of various parameters of the system.
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References
W. Qiang, S.H. Dong, Phys. Lett. A 372, 5860 (2008).
G. Wei, S.H. Dong, Phys. Lett. A 373, 49 (2008).
G.H. Sun, S.H. Dong, Phys. Lett. A 374, 4112 (2010).
S. Haouat, L. Chetouani, Phys. Scr. 77, 025005 (2008).
E. Olgar et al., Phys. Scr. 78, 015011 (2008).
R. Sever et al., Int. J. Theor. Phys. 47, 2243 (2008).
A. Arda et al., Phys. Scr. 79, 015006 (2009).
K. Sogut, A. Havare, J. Phys. A 43, 225204 (2010).
H. Hassanabadi, S. Zarrinkamar, H. Rahimov, Commun. Theor. Phys. 56, 423 (2011).
G. Jaczko, L. Durand, Phys. Rev. D 58, 114017 (1998).
P. Boonserm, M. Visser, arXiv:1005.4483v3.
E. Schrödinger, Proc. R. Irish Acad. A 46, 183 (1940).
A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhaauser, Basel, 1988).
H. Hassanabadi, S. Zarrinkamar, M. Hamzavi, A.A. Rajabi, Few-Body Syst. 51, 69 (2011).
C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009).
G. Hellmann, Einführung in die Quantenchemie (1937).
R.P. Feynman, Phys. Rev. 56, 340 (1939).
A. Hibbert, Rep. Prog. Phys. 38, 1217 (1975).
H. Hassanabadi, B.H Yazarloo, L.L. Lu, Chin. Phys. Lett. 29, 020303 (2012).
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Yazarloo, B.H., Hassanabadi, H. & Zarrinkamar, S. Oscillator strengths based on the Möbius square potential under Schrödinger equation. Eur. Phys. J. Plus 127, 51 (2012). https://doi.org/10.1140/epjp/i2012-12051-9
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DOI: https://doi.org/10.1140/epjp/i2012-12051-9