International Journal of Physical Sciences Vol. 2(2), pp. 015-020, February 2014 ISSN 2331-1827 ©2014 Academe Research Journals

Full Length Research Paper

Derivation of Klein-Gordon equation from Maxwell’s electric wave equation

K. G. Elgaylani¹, M. D. Abd Allah², K. A. Haroun³, M. H. Eisa²* and A. S. Al Amer⁴

¹General Science Department, College of Engineering, Sudan University of Science and Technology, Khartoum 11113, Sudan.

²Physics Department, College of Science, Sudan University of Science and Technology, Khartoum 11113, Sudan.

³Physics Department, College of Education, Alzaiem Alazhari University, Omdurman 1115, Sudan.

⁴Physics Department, College of Science, Al-Imam Mohamed Bin Saud Islamic University, Riyadh 11642, KSA.

*Corresponding author. E-mail: mheisas@hotmail.com.  Tel: (+966) 566974584.  

Accepted 11 October, 2013

Abstract

Maxwell’s equation for electric field was used to derive Einstein energy-momentum relation. This was done by using Plank photon energy relation beside wave solution in insulating no charged matter. Klein-Gordon quantum equation was also derived from the same Maxwell’s equation by utilizing resemblance between electric field vector and wave function in the intensity expression. However, the relation between polarization and electron rest mass was also used.

Key words: Klein-Gordon equation, Maxwell’s wave equation, photon mass.