Bound state solutions of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential

We obtained an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov method. The bound state energy eigenvalues for N 2 , CO, NO, and CH diatomic molecules were computed for various vibratio...

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Bibliographic Details
Published inIndian journal of physics Vol. 94; no. 4; pp. 425 - 433
Main Authors Edet, C. O., Okorie, U. S., Ngiangia, A. T., Ikot, A. N.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.04.2020
Springer Nature B.V
Subjects
Astrophysics and Astroparticles
Coulomb potential
Diatomic molecules
Eigenvalues
Mathematical models
Nonlinear equations
Original Paper
Parameter modification
Physics
Physics and Astronomy
Quantum numbers
Schrodinger equation
Nikiforov–Uvarov method
Schrodinger equation
Kratzer potential
03.65.-w
Screened Coulomb potential
03.65. Ge
03.65. Ca
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Summary:We obtained an approximate solution of the Schrodinger equation for the modified Kratzer potential plus screened Coulomb potential model, within the framework of Nikiforov–Uvarov method. The bound state energy eigenvalues for N 2 , CO, NO, and CH diatomic molecules were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into modified Kratzer potential, screened Coulomb potential, and standard Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.
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ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-019-01477-9