Investigating Some Diatomic Molecules Bounded by Two-Dimensional Isotropic Oscillator Plus Inverse Quadratic Potential in an External Magnetic field

TL;DR

This paper studies how external magnetic fields affect the energy spectra, expectation values, and diamagnetic susceptibility of diatomic molecules confined by a combined isotropic oscillator and inverse quadratic potential, using the Nikiforov-Uvarov method.

Contribution

It introduces a detailed analysis of magnetic effects on diatomic molecules with a specific potential, providing explicit calculations for various molecules and magnetic field strengths.

Findings

External magnetic field significantly influences energy spectra and susceptibility.

Inverse quadratic potential strength g impacts molecular properties more than vibrational frequencies.

Results show the magnetic field and potential strength are more influential than molecular mass.

Abstract

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 wavefunctions are obtained via parametric Nikiforov-Uvarov method. The expectation values square of position r2, square of momentum p2, kinetic energy T and potential energy V are obtained by applying 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, 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.