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Advances in Mathematical Physics
Volume 2014, Article ID 103675, 4 pages
http://dx.doi.org/10.1155/2014/103675
Research Article

Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators

1Physics Department, Ilam University, P.O. Box 69315-516, Ilam, Iran
2Department of Physics, Islamic Azad University, Ilam Branch, Ilam, Iran
3Young Researchers and Elite Club, Islamic Azad University, Mahabad, Iran

Received 17 April 2014; Accepted 13 May 2014; Published 22 May 2014

Academic Editor: Shi-Hai Dong

Copyright © 2014 J. Naji 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.

Abstract

We consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the system.