×

Exact solutions for vibrational levels of the Morse potential via the asymptotic iteration method. (English) Zbl 1129.81384

Summary: Exact solutions for vibrational levels of diatomic molecules via the Morse potential are obtained by means of the asymptotic iteration method. It is shown that the numerical results for the energy eigenvalues of \({}^7\text{Li}_2\) are all in excellent agreement with those obtained before. Without any loss of generality, other states and other diatomic molecules could be treated in a similar way.

MSC:

81V55 Molecular physics

References:

[1] G. Lèvai: J. Phys. A25 (1992) L521.
[2] L. Gendeshtein: Zh. Eksp. Teor. Fiz. Red.38 (1983) 299; Engl. transl.: JETP Lett.38 (1983) 356.
[3] P.M.A. Dirac:Quantum Mechanics, Clarendon Press, Oxford, 1930.
[4] L. Infed and T.E. Hull: Rev. Mod. Phys.23 (1951) 21. · Zbl 0043.38602 · doi:10.1103/RevModPhys.23.21
[5] A. Stahlhofen: Nuovo Cimento B104 (1989) 447. · doi:10.1007/BF02725674
[6] O.L. de Lange and R.E. Raab:Operator Methods in Quantum Mechanics, Clarendon Press, Oxford, 1991.
[7] F. Cooper, A. Khare, and U. Sukhatme: Phys. Rept.215 (1995) 267. · doi:10.1016/0370-1573(94)00080-M
[8] R.M. Edelstein, K.S. Govinder, and F.M. Mahomed: J. Phys. A34 (2001) 1141. · Zbl 0974.34006 · doi:10.1088/0305-4470/34/6/306
[9] H. Ciftci, R.L. Hall, and N. Saad: J. Phys. A36 (2003) 11807. · Zbl 1070.34113 · doi:10.1088/0305-4470/36/47/008
[10] H. Ciftci, R.L. Hall, and N. Saad: J. Phys. A38 (2005) 1147. · Zbl 1069.34127 · doi:10.1088/0305-4470/38/5/015
[11] F.M. Fernández: J. Phys. A37 (2004) 6173. · Zbl 1058.65510 · doi:10.1088/0305-4470/37/23/014
[12] T. Barakat: Phys. Lett A.344 (2005) 411. · Zbl 1194.81060 · doi:10.1016/j.physleta.2005.06.081
[13] T. Barakat, K. Abodayeh, and A. Mukheimer: J. Phys. A38 (2005) 1299. · Zbl 1082.81028 · doi:10.1088/0305-4470/38/6/009
[14] T. Barakat, K. Abodayeh, B. Abdallah, and O.M. Al-Dossary: Can. J. Phys.84 (2006) 121. · doi:10.1139/P06-007
[15] P.M. Morse: Phys. Rev.34 (1929) 57. · JFM 55.0539.02 · doi:10.1103/PhysRev.34.57
[16] L.D. Landau and E.M. Lifshitz:Quantum Mechanics, Non-Relativistic Theory, (3rd ed.), Pergamon, Elmsford, NY, 1977. · Zbl 0178.57901
[17] S.H. Dong, R. Lemus, and A. Frank: Int. J. Quantum Chem.86 (2002) 433. · doi:10.1002/qua.10038
[18] M. G. Benedict and B. Molnar: Phys. Rev. A60 (1999) R1737.
[19] D. Popov: Phys. Lett. A316 (2003) 369. · Zbl 1031.81032 · doi:10.1016/j.physleta.2003.07.008
[20] S. H. Dong, Y. Tang, and G.H. Sun: Phys. Lett. A314 (2003) 145. · Zbl 1065.81551 · doi:10.1016/j.physleta.2003.11.022
[21] J. Yu, S.H. Dong, and G.H. Sun: Phys. Lett. A322 (2004) 290. · Zbl 1118.81469 · doi:10.1016/j.physleta.2004.01.039
[22] G. Chen: Phys. Lett. A326 (2004) 55. · Zbl 1161.34361 · doi:10.1016/j.physleta.2004.04.029
[23] E. Ley-Koo, S. Mateos-Cortés, and G. Villa-Torres: Int. J. Quantum Chem.56 (1995) 175. · doi:10.1002/qua.560560305
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.