Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field

We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables, and diamagnetic susceptibility for some diatomic molecules bounded by the isotropic oscillator plus inverse quadratic potential. The energy eigenvalues and normalized...

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Main Authors: O. J. Oluwadare, E. O. Ilesanmi, T. O. Abiola, O. Olubosede, E. A. Odo, S. O. Ajibade, K. J. Oyewumi
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2022/6565048
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author O. J. Oluwadare
E. O. Ilesanmi
T. O. Abiola
O. Olubosede
E. A. Odo
S. O. Ajibade
K. J. Oyewumi
author_facet O. J. Oluwadare
E. O. Ilesanmi
T. O. Abiola
O. Olubosede
E. A. Odo
S. O. Ajibade
K. J. Oyewumi
author_sort O. J. Oluwadare
collection DOAJ
description We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables, and diamagnetic susceptibility for some diatomic molecules bounded by the isotropic oscillator plus inverse quadratic potential. The energy eigenvalues and normalized wave functions are obtained via the parametric Nikiforov-Uvarov method. The expectation values square of the position r2, square of the momentum p2, kinetic energy T, and potential energy V are obtained by applying the Hellmann-Feynman theorem, and an expression for the diamagnetic susceptibility X is also derived. Using the spectroscopic data, the low rotational and low vibrational energy spectra, expectation values, and diamagnetic susceptibility X for a set of diatomic molecules (I2, H2, CO, and HCl) for arbitrary values, Larmor frequencies are calculated. The computed energy spectra, expectation values, and diamagnetic susceptibility X were found to be more influenced by the external magnetic field strength and inverse quadratic potential strength g than the vibrational frequencies and the masses of the selected molecules.
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institution Kabale University
issn 1687-7365
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publishDate 2022-01-01
publisher Wiley
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series Advances in High Energy Physics
spelling doaj-art-47ccc8a349844c05a9b8255da9b16acc2025-02-03T01:22:49ZengWileyAdvances in High Energy Physics1687-73652022-01-01202210.1155/2022/6565048Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic FieldO. J. Oluwadare0E. O. Ilesanmi1T. O. Abiola2O. Olubosede3E. A. Odo4S. O. Ajibade5K. J. Oyewumi6Department of PhysicsDepartment of PhysicsDepartment of PhysicsDepartment of PhysicsDepartment of PhysicsDepartment of PhysicsDepartment of PhysicsWe investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables, and diamagnetic susceptibility for some diatomic molecules bounded by the isotropic oscillator plus inverse quadratic potential. The energy eigenvalues and normalized wave functions are obtained via the parametric Nikiforov-Uvarov method. The expectation values square of the position r2, square of the momentum p2, kinetic energy T, and potential energy V are obtained by applying the Hellmann-Feynman theorem, and an expression for the diamagnetic susceptibility X is also derived. Using the spectroscopic data, the low rotational and low vibrational energy spectra, expectation values, and diamagnetic susceptibility X for a set of diatomic molecules (I2, H2, CO, and HCl) for arbitrary values, Larmor frequencies are calculated. The computed energy spectra, expectation values, and diamagnetic susceptibility X were found to be more influenced by the external magnetic field strength and inverse quadratic potential strength g than the vibrational frequencies and the masses of the selected molecules.http://dx.doi.org/10.1155/2022/6565048
spellingShingle O. J. Oluwadare
E. O. Ilesanmi
T. O. Abiola
O. Olubosede
E. A. Odo
S. O. Ajibade
K. J. Oyewumi
Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
Advances in High Energy Physics
title Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
title_full Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
title_fullStr Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
title_full_unstemmed Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
title_short Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field
title_sort investigating some diatomic molecules bounded by the two dimensional isotropic oscillator plus inverse quadratic potential in an external magnetic field
url http://dx.doi.org/10.1155/2022/6565048
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