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

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 51卷 / 01期

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

页码：227 / 238

页数：12

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