dorsal/arxiv
View SchemaQuasi-set theory for bosons and fermions: quantum distributions
| Authors | Decio Krause, Adonai S. Sant'Anna, Analice G. Volkov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803076 |
| URL | https://arxiv.org/abs/quant-ph/9803076 |
| DOI | 10.1023/A:1021678721611 |
| Journal | Found.Phys.Lett. 12 (1999) 51-66 |
Abstract
Quasi-set theory provides a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the quantum statistics into the scope of quasi-set theory and discuss the Helium atom, which represents the simplest example where indistinguishability plays an important role. A brief discussion about indistinguishability and interference is also presented as well as other related lines of work. One of the advantages of our approach is that one of the most basic principles of quantum theory, namely, the Indistinguishability Postulate, does not need to be assumed even implicetely in the axiomatic basis of quantum mechanics.
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"abstract": "Quasi-set theory provides a mathematical background for dealing with\ncollections of indistinguishable elementary particles. In this paper, we show\nhow to obtain the quantum statistics into the scope of quasi-set theory and\ndiscuss the Helium atom, which represents the simplest example where\nindistinguishability plays an important role. A brief discussion about\nindistinguishability and interference is also presented as well as other\nrelated lines of work. One of the advantages of our approach is that one of the\nmost basic principles of quantum theory, namely, the Indistinguishability\nPostulate, does not need to be assumed even implicetely in the axiomatic basis\nof quantum mechanics.",
"arxiv_id": "quant-ph/9803076",
"authors": [
"Decio Krause",
"Adonai S. Sant\u0027Anna",
"Analice G. Volkov"
],
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"quant-ph"
],
"doi": "10.1023/A:1021678721611",
"journal_ref": "Found.Phys.Lett. 12 (1999) 51-66",
"title": "Quasi-set theory for bosons and fermions: quantum distributions",
"url": "https://arxiv.org/abs/quant-ph/9803076"
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