Shifted Tietz-Wei oscillator for simulating the atomic interaction in diatomic molecules

Abstract

The shifted Tietz-Wei (sTW) oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules. By using the Pekeris-type approximation to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this typical molecular model via the exact quantization rule (EQR). The energy spectrum for a set of diatomic molecules ($NO\left(a^4{\Pi }_i\right)$, $NO\left(B^2{\Pi }_r\right)$, $NO\left(L^{\prime 2}\varphi \right)$, $NO\left(b^4{\Sigma }^{-}\right)$, $ICl\left(X^1{\Sigma }_g^{+}\right)$, $ICl\left(A^3{\Pi }_1\right)$ and $ICl\left(A^{\prime 3}{\Pi }_2\right)$ for arbitrary values of $n$ and $\ell$ quantum numbers are obtained. For the sake of completeness, we study the corresponding wavefunctions using the formula method.

arXiv commentJ Theor Appl Phys (2015). arXiv admin note: text overlap with arXiv:1503.09091

References in corpus (6)

• Quantum Correction in Exact Quantization Rules
• Eigensolution techniques, their applications and the Fisher's information entropy of Tietz-Wei diatomic molecular model
• Formula Method for Bound State Problems
• Quantization rule solution to the Hulthén potential in arbitrary dimension by a new approximate scheme for the centrifugal term
• Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
• Spectroscopic study of some diatomic molecules via the proper quantization rule

Cited by in corpus (1)

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