dorsal/arxiv
View Schemaq-deformed Fermions
| Authors | P. Narayana Swamy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509136 |
| URL | https://arxiv.org/abs/quant-ph/0509136 |
| DOI | 10.1140/epjb/e2006-00055-7 |
Abstract
This is a study of $q$-Fermions arising from a q-deformed algebra of harmonic oscillators. Two distinct algebras will be investigated. Employing the first algebra, the Fock states are constructed for the generalized Fermions obeying Pauli exclusion principle. The distribution function and other thermodynamic properties such as the internal energy and entropy are derived. Another generalization of fermions from a different q-deformed algebra is investigated which deals with q-fermions not obeying the exclusion principle. Fock states are constructed for this system. The basic numbers appropriate for this system are determined as a direct consequence of the algebra. We also establish the Jackson Derivative, which is required for the q-calculus needed to describe these generalized Fermions.
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"abstract": "This is a study of $q$-Fermions arising from a q-deformed algebra of harmonic\noscillators. Two distinct algebras will be investigated. Employing the first\nalgebra, the Fock states are constructed for the generalized Fermions obeying\nPauli exclusion principle. The distribution function and other thermodynamic\nproperties such as the internal energy and entropy are derived. Another\ngeneralization of fermions from a different q-deformed algebra is investigated\nwhich deals with q-fermions not obeying the exclusion principle. Fock states\nare constructed for this system. The basic numbers appropriate for this system\nare determined as a direct consequence of the algebra. We also establish the\nJackson Derivative, which is required for the q-calculus needed to describe\nthese generalized Fermions.",
"arxiv_id": "quant-ph/0509136",
"authors": [
"P. Narayana Swamy"
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"quant-ph"
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"doi": "10.1140/epjb/e2006-00055-7",
"title": "q-deformed Fermions",
"url": "https://arxiv.org/abs/quant-ph/0509136"
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