Thomas-Fermi Model in the Presence of Natural Cutoffs

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 n...

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Bibliographic Details
Published in:Advances in high energy physics 2014-01, Vol.2014 (2014), p.1-11
Main Authors: Nozari, Kourosh, Haghani, Z., Vahedi, J.
Format: Article
Language:English
Subjects:
Algebra
Atoms & subatomic particles
Condensed matter physics
Physics
Quantum theory
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Summary: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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2014/418342