Energy Analysis of RbH, NI, And ScI Diatomic Molecules with Position-Dependent Mass

In this study, we analyze the energy level of the diatomic molecules in the case of a non-relativistic quantum system influenced by an external magnetic field and exponential potential. The energy eigenvalue as the solution of the Schrödinger equation in the cosmic-string spacetime was simulated numerically. The energy spectrum was calculated for the three selected diatomic molecules involving RbH, NI, ScI. The influence of the quantum number, potential parameter, and the external magnetic field is considered in this computation to recover the behavior of the particle. The results showed that the energy value depends on the quantum number, potential parameter, mass of the molecule, and magnetic field strength. The magnetic field strength and the potential parameter most apparently affect the change in energy level, followed by the quantum number which also affects the increase in the energy level of the particle considered in this system. In addition, these results may be useful in studying the thermodynamic, optic, and magnetic properties of the atomic interaction of a system particle. Keywords: Non-relativistic system; Diatomic molecule; Position-dependent mass; External magnetic field; Cosmic string