Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 410156, 20 pages
Relativistic Short Range Phenomena and Space-Time Aspects of Pulse
1Department of Electrical and Computer Engineering, University of West Florida, 11000 University Parkway, Pensacola, FL 32514, USA
2Faculty of Applied Sciences, Politechnica University, Hagi-Ghita 81, 060032 Bucharest, Romania
Received 22 April 2008; Accepted 5 May 2008
Academic Editor: Carlo Cattani
Copyright © 2008 Ezzat G. Bakhoum and Cristian Toma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Particle physics is increasingly being linked to engineering applications via electron
microscopy, nuclear instrumentation, and numerous other applications. It is well known that
relativistic particle equations notoriously fail over very short space-time intervals. This paper
introduces new versions of Dirac's equation and of the Klein-Gordon equation that are suitable for
short-range phenomena. Another objective of the paper is to demonstrate
that pulse measurement methods that are based on the wave nature of matter
do not necessarily correlate with physical definitions that are based on
the corpuscular nature of particles.