dorsal/arxiv
View SchemaRotational invariance and the spin-statistics theorem
| Authors | Paul O'Hara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310016 |
| URL | https://arxiv.org/abs/quant-ph/0310016 |
| DOI | 10.1023/A:1025697412645 |
| Journal | Found.Phys. 33 (2003) 1349-1368 |
Abstract
In this article the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class of rotationally invariant states can only occur in pairs. This is referred to as the coupling principle. This in turn suggests a natural classification of quantum systems into those containing coupled states and those that do not. Surprisingly, it would seem that Fermi-Dirac statistics follows as a consequence of this coupling while the Bose-Einstein follows by breaking it. In section 5, the above approach is related to Pauli's original spin-statistics theorem and finally in the last two sections, a theoretical justification, based on Clebsch-Gordan coefficients and the experimental evidence respectively, is presented.
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"abstract": "In this article the rotational invariance of entangled quantum states is\ninvestigated as a possible cause of the Pauli exclusion principle. First, it is\nshown that a certain class of rotationally invariant states can only occur in\npairs. This is referred to as the coupling principle. This in turn suggests a\nnatural classification of quantum systems into those containing coupled states\nand those that do not. Surprisingly, it would seem that Fermi-Dirac statistics\nfollows as a consequence of this coupling while the Bose-Einstein follows by\nbreaking it. In section 5, the above approach is related to Pauli\u0027s original\nspin-statistics theorem and finally in the last two sections, a theoretical\njustification, based on Clebsch-Gordan coefficients and the experimental\nevidence respectively, is presented.",
"arxiv_id": "quant-ph/0310016",
"authors": [
"Paul O\u0027Hara"
],
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"quant-ph",
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"doi": "10.1023/A:1025697412645",
"journal_ref": "Found.Phys. 33 (2003) 1349-1368",
"title": "Rotational invariance and the spin-statistics theorem",
"url": "https://arxiv.org/abs/quant-ph/0310016"
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