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

• Published in: Advances 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
• Language: English
• Published: New York Hindawi 10.09.2022; Hindawi Limited; Wiley
• 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
• ISSN: 1687-7357; 1687-7365
• DOI: 10.1155/2022/6565048

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.