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The kappa-deformed boson algebra and parafermion algebra
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- Apr-2019
- Publisher
- Zhonghua Minguo Wuli Xuehui
- Citation
- Chinese Journal of Physics, v.58, pp 190 - 201
- Pages
- 12
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- Chinese Journal of Physics
- Volume
- 58
- Start Page
- 190
- End Page
- 201
- ISSN
- 0577-9073
- Abstract
- In this paper we consider kappa-deformed boson algebra [a, a(dagger)] = 1 + 2 kappa N. We discuss the kappa-deformed quantum harmonic oscillator problem. We also apply this algebra to the photon and phonon to formulate the kappa-deformed Planck radiation law and kappa-deformed Debye model and compare our results with undeformed ones. Finally, we discuss the case of kappa = -1/p which gives the parafermion model.
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