dorsal/arxiv
View SchemaHow to Distinguish Identical Particles. the General Case
| Authors | Fedor Herbut |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611049 |
| URL | https://arxiv.org/abs/quant-ph/0611049 |
Abstract
The many-identical-particle quantum correlations are revisited utilizing the machinery of basic group theory, especially that of the group of permutations. It is done with the purpose to obtain precise definitions of effective distinct particles, and of the limitations involved. Namely, certain restrictions allow one to distinguish identical particles in the general case of N of them, and of J clusters of effectively distinct particles, where N and J are arbitrary integers (but 1<J<(N+1)). Mutually orthogonal, single-particle distinguishing projectors (events or ptoperties), J of them, are the backbone of the construction. The general results are exemplified by local quantum mechanics, and by the case of nucleons. The former example suits laboratory experiments, and a critical view of it is presented.
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"abstract": "The many-identical-particle quantum correlations are revisited utilizing the\nmachinery of basic group theory, especially that of the group of permutations.\nIt is done with the purpose to obtain precise definitions of effective distinct\nparticles, and of the limitations involved. Namely, certain restrictions allow\none to distinguish identical particles in the general case of N of them, and of\nJ clusters of effectively distinct particles, where N and J are arbitrary\nintegers (but 1\u003cJ\u003c(N+1)). Mutually orthogonal, single-particle distinguishing\nprojectors (events or ptoperties), J of them, are the backbone of the\nconstruction. The general results are exemplified by local quantum mechanics,\nand by the case of nucleons. The former example suits laboratory experiments,\nand a critical view of it is presented.",
"arxiv_id": "quant-ph/0611049",
"authors": [
"Fedor Herbut"
],
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"quant-ph"
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"title": "How to Distinguish Identical Particles. the General Case",
"url": "https://arxiv.org/abs/quant-ph/0611049"
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