Solutions of the Schrödinger equation with improved Rosen Morse potential for nitrogen molecule and sodium dimer

The one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the s...

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Bibliographic Details
Published in:Results in physics 2021-03, Vol.22, p.103961, Article 103961
Main Authors: Onate, C.A., Akanbi, T.A.
Format: Article
Language:English
Subjects:
Eigensolution
Expectation value
Molecules
Wave equation
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Summary:The one-dimensional Schrödinger equation with an improved Rosen Morse potential energy function was studied in view of supersymmetric approach. The ro-vibrational energy equation and the corresponding unnormalized radial wave function were obtained. The variation of the vibrational energy with the screening parameter and the exponential term were studied graphically. Some vibrational expectation values were also calculated. Using the calculated vibrational energy equation, numerical values were generated for X1∑g+ state of N2 and 51Δg state of Na2 molecules respectively. The comparison of the results for the two molecules with the RKR data showed a very good agreement.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2021.103961