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

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 wave functions are obtained via the parametric Nikiforov-Uvarov method. The expectation values square of the position $〈r^2〉$ , square of the momentum $〈p^2〉$ , 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.