Schrödinger equation: analytical resolution and simulation for the hydrogen atom

Abstract

In 1926, Erwin Rudolf Josef Alexander Schrödinger described the behaviour of the motion of an electron in a stationary state. The same formulated the equation considered to be the initial foundation of quantum theory. Aiming to understand the relationship of mathematics with several other fields of knowledge, he made a study of the resolution of analytical Schröndinger equation in spherical coordinates and, based on the results, simulations were made which allowed to describe the energy levels of electron of the hydrogen atom.