dorsal/arxiv
View Schemaq-deformed fermion oscillators, zero-point energy and inclusion-exclusion principle
| Authors | P. Narayana Swamy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909015 |
| URL | https://arxiv.org/abs/quant-ph/9909015 |
Abstract
The theory of Fermion oscillators has two essential ingredients: zero-point energy and Pauli exclusion principle. We devlop the theory of the statistical mechanics of generalized q-deformed Fermion oscillator algebra with inclusion principle (i.e., without the exclusion principle), which corresponds to ordinary fermions with Pauli exclusion principle in the classical limit $q \to 1$. Some of the remarkable properties of this theory play a crucial role in the understanding of the q-deformed Fermions. We show that if we insist on the weak exclusion principle, then the theory has the expected low temperature limit as well as the correct classical q-limit.
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"abstract": "The theory of Fermion oscillators has two essential ingredients: zero-point\nenergy and Pauli exclusion principle. We devlop the theory of the statistical\nmechanics of generalized q-deformed Fermion oscillator algebra with inclusion\nprinciple (i.e., without the exclusion principle), which corresponds to\nordinary fermions with Pauli exclusion principle in the classical limit $q \\to\n1$. Some of the remarkable properties of this theory play a crucial role in the\nunderstanding of the q-deformed Fermions. We show that if we insist on the weak\nexclusion principle, then the theory has the expected low temperature limit as\nwell as the correct classical q-limit.",
"arxiv_id": "quant-ph/9909015",
"authors": [
"P. Narayana Swamy"
],
"categories": [
"quant-ph"
],
"title": "q-deformed fermion oscillators, zero-point energy and inclusion-exclusion principle",
"url": "https://arxiv.org/abs/quant-ph/9909015"
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