Schrödinger equation: analytical resolution and simulation for the hydrogen atom

Authors

  • Adriano Pilla Zeilmann
  • Débora Spenassato
  • Neuza Oro

Keywords:

Equação de Schröndinger em coordenadas esféricas, Átomo de hidrogênio

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.

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Author Biographies

Adriano Pilla Zeilmann

Mestrando do Programa de Pós-Graduação em Modelagem Computacional – FURG.

Débora Spenassato

Mestranda do Programa de Pós-Graduação em Modelagem Computacional – FURG.

Neuza Oro

Professora Msc. em Modelagem Matemática, Instituto de Ciências Exatas e Geociências – UPF.

Published

2010-12-09

How to Cite

Zeilmann, A. P., Spenassato, D., & Oro, N. (2010). Schrödinger equation: analytical resolution and simulation for the hydrogen atom. VETOR - Journal of Exact Sciences and Engineering, 18(2), 34–44. Retrieved from https://seer.furg.br/vetor/article/view/1695

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