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Advances in High Energy Physics
Volume 2014, Article ID 619498, 8 pages
Research Article

Some Implications of Two Forms of the Generalized Uncertainty Principle

Department of Electrical Engineering, Alexandria University, Alexandria 12544, Egypt

Received 26 November 2013; Revised 30 January 2014; Accepted 30 January 2014; Published 10 March 2014

Academic Editor: Elias C. Vagenas

Copyright © 2014 Mohammed M. Khalil. 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. The publication of this article was funded by SCOAP3.


Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of the GUP and calculate their implications on the energy of the harmonic oscillator and the hydrogen atom more accurately than previous studies. In addition, we show how the GUP modifies the Lorentz force law and the time-energy uncertainty principle.