Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules

被引:67
作者
Hamzavi, M. [1 ]
Ikhdair, S. M. [2 ]
Thylwe, K. -E. [3 ]
机构
[1] Islamic Azad Univ, Shahrood Branch, Dept Basic Sci, Shahrood, Iran
[2] Near East Univ, Dept Phys, TR-922022 Nicosia, Turkey
[3] Royal Inst Technol, KTH Mech, S-10044 Stockholm, Sweden
关键词
Schrodinger equation; Shifted Deng-Fan oscillator potential; Nikiforov-Uvarov method; Approximation schemes; Diatomic molecules; EXACT QUANTIZATION RULE; L-STATE SOLUTIONS; RADIAL SCHRODINGER-EQUATION; ROTATION-VIBRATION SPECTRUM; APPROXIMATION SCHEME; WAVE-FUNCTIONS; MORSE; VECTOR; SCALAR; ATOM;
D O I
10.1007/s10910-012-0075-x
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
We obtain the bound-state solutions of the radial Schrodinger equation with the shifted Deng-Fan oscillator potential in the frame of the Nikiforov-Uvarov method by employing Pekeris-type approximation to deal with the centrifugal term. The analytical expressions for the energy eigenvalues and the corresponding normalized wave functions are obtained in closed form for arbitrary l-state. The ro-vibrational energy levels for a few diatomic molecules are also calculated. They are found to be in good agreement with those ones previously obtained by the Morse potential.
引用
收藏
页码:227 / 238
页数:12
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