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The Statistical Properties of the q-Deformed Dirac Oscillator in One and Two Dimensions
Joint Authors
Hassanabadi, Hassan
Boumali, Abdelmalek
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the behavior of the eigenvalues of the one and two dimensions of q-deformed Dirac oscillator.
The eigensolutions have been obtained by using a method based on the q-deformed creation and annihilation operators in both dimensions.
For a two-dimensional case, we have used the complex formalism which reduced the problem to a problem of one-dimensional case.
The influence of the q-numbers on the eigenvalues has been well analyzed.
Also, the connection between the q-oscillator and a quantum optics is well established.
Finally, for very small deformation η, we (i) showed the existence of well-known q-deformed version of Zitterbewegung in relativistic quantum dynamics and (ii) calculated the partition function and all thermal quantities such as the free energy, total energy, entropy, and specific heat.
The extension to the case of Graphene has been discussed only in the case of a pure phase (q=eiη).
American Psychological Association (APA)
Boumali, Abdelmalek& Hassanabadi, Hassan. 2017. The Statistical Properties of the q-Deformed Dirac Oscillator in One and Two Dimensions. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1122275
Modern Language Association (MLA)
Boumali, Abdelmalek& Hassanabadi, Hassan. The Statistical Properties of the q-Deformed Dirac Oscillator in One and Two Dimensions. Advances in High Energy Physics No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1122275
American Medical Association (AMA)
Boumali, Abdelmalek& Hassanabadi, Hassan. The Statistical Properties of the q-Deformed Dirac Oscillator in One and Two Dimensions. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1122275
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122275