American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: http://www.sciepub.com/journal/education Editor-in-chief: Ratko Pavlović
Open Access
Journal Browser
Go
American Journal of Educational Research. 2018, 6(7), 963-966
DOI: 10.12691/education-6-7-11
Open AccessArticle

A New Approach for Introducing Schrödinger’s Equation Using Maxwell’s Equations, Quantum Mechanics, and Special Relativity

Hye Jung Kang1,

1College of Arts, Sciences and Education, Texas A&M University, Texarkana, TX, 75503, USA

Pub. Date: July 10, 2018

Cite this paper:
Hye Jung Kang. A New Approach for Introducing Schrödinger’s Equation Using Maxwell’s Equations, Quantum Mechanics, and Special Relativity. American Journal of Educational Research. 2018; 6(7):963-966. doi: 10.12691/education-6-7-11

Abstract

The wave-particle duality for light has been well established by various experiments, such as Young’s double slit experiment and the photoelectric effect. This led de Broglie to propose that a particle also has wave characteristics. Schrödinger further established the wave equation for a moving particle. Many times, quantum mechanics textbooks do not show how Schrödinger’s equation was developed in an intuitive manner that is appropriate at the undergraduate level. This article presents a new approach for introducing Schrödinger’s equation. This new approach starts with Maxwell’s equations and then applies the quantized energy of a light wave and special relativity. This more intuitive approach should help undergraduate students understand the origin of Schrödinger’s equation in a more natural way.

Keywords:
wave-particle duality Schrödinger’s equation quantized energy of a light wave special relativity Maxwell’s equation

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  De Broglie, L., The wave nature of the electron, Nobel Lecture, 1929, Physics 1922-1941, Elsevier Publishing Company, Amsterdam, 1965, 244-256.
 
[2]  Schrödinger, E., “An undulatory theory of the mechanics of atoms and molecules,” Physical Review, 28 (6). 1049-1070. Dec. 1926.
 
[3]  Griffiths, D. J., Introduction to Electrodynamics, 4th ed, Pearson, 2013, 393-394.
 
[4]  Helliwell, T. M., Special Relativity, University Science Books, 2010, 146-150.
 
[5]  Giancoli, D. C., Physics for Scientists & Engineers with Modern Physics, 4th ed, Pearson Prentice Hall, Upper Saddle River, 2009, 1018-1019.
 
[6]  Miller, D. A., Quantum Mechanics for Scientists and Engineers, Cambridge University Press, New York, 2008, 73-74.