Elucidation of the Fourth-Order Generalized Schrodinger Problem for Hydrogen Atom using Frobenius Series Application

Abstract

The hydrogen atom is a fundamental system in quantum mechanics that has been extensively studied due to its simplicity and relevance to atomic physics. The accurate determination of the energy levels of the hydrogen atom is of paramount importance for various applications in physics and chemistry. Hence, the objective of this work is to solve the fourth-order generalized Schrodinger problem for the hydrogen atom using the Frobenius series application. Findings obtained demonstrate the effectiveness and efficiency in determining the energies of the hydrogen atom, thereby contributing to a deeper understanding of quantum mechanical systems.