Energy spectrum of selected diatomic molecules (H2, CO, I2, NO) by the resolution of Schrodinger equation for combined potentials via NUFA method

Abstract

The equation proposed by Schrödinger is widely recognized as the foundational formula in quantum science, comparable to the law of gravity in the study of classical physics.Describing phenomena in various fields, such as quantum optics and atomic physics, exhibits significant diversity. For specific diatomic molecule potentials, analytical responses to the Schrodinger formula can be found. These responses cover all possible values of angular momentum. The NU functional analysis and the Greene-Aldrich hypothesis are employed in our study for the purpose of obtaining an approximate solution for the Schrödinger issue including a screened modified Kratzer potential combined with an inverse quadratic Yukawa potential, a systematic approach needs to be employed. In this study, we calculate the energy eigenvalues associated with bound states in various quantum states, the present study focuses on a distinct group of diatoms molecules. The analytical data that were acquired are utilized in the analysis of various diatomic compounds H2, CO, I2, and NO. A comparative analysis compares the results of this study to those found in other studies that used different methods to figure out how accurate the current method is.