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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Bibliographic Details
Published inAdvances in High Energy Physics Vol. 2022; pp. 1 - 14
Main Authors Oluwadare, O. J., Ilesanmi, E. O., Abiola, T. O., Olubosede, O., Odo, E. A., Ajibade, S. O., Oyewumi, K. J.
Format Journal Article
LanguageEnglish
Published New York Hindawi 10.09.2022
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Analysis
Charged particles
Coordinate transformations
Diamagnetism
Diatomic molecules
Eigenvalues
Energy
Energy spectra
Field strength
Force and energy
Hellmann-Feynman theorem
Investigations
Kinetic energy
Magnetic effects
Magnetic fields
Oscillators
Polynomials
Potential energy
Quantum mechanics
Quantum physics
Rotational spectra
Wave functions
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Summary: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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2022/6565048