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Advances in High Energy Physics
Volume 2014, Article ID 418342, 11 pages
Research Article

Thomas-Fermi Model in the Presence of Natural Cutoffs

Department of Physics, Islamic Azad University, Sari Branch, Sari, Iran

Received 5 November 2013; Revised 26 January 2014; Accepted 29 January 2014; Published 28 April 2014

Academic Editor: Elias C. Vagenas

Copyright © 2014 Kourosh Nozari et al. 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.


It has been revealed, in the context of quantum gravity candidates, that measurement of position cannot be done with arbitrary precision and there is a finite resolution of space-time points. This leads naturally to a minimal measurable length of the order of Planck length. Also, in the context of newly proposed doubly special relativity theories, a test particle’s momentum cannot be arbitrarily imprecise leading nontrivially to a maximal momentum for a test particle. These two natural cutoffs affects most of quantum field theoretic arguments in the spirit of condensed matter physics. Here we focus on the role of these natural cutoffs on Thomas-Fermi theory in condensed matter physics. We show how quantum gravity effects can play important role phenomenologically in many-body interactions of solids.