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Miscellaneous Applications of Quons
This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, angular momentum theory and quantum information. More precisely, quon algebras a...
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147191 |
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irk-123456789-1471912019-02-14T01:27:21Z Miscellaneous Applications of Quons Kibler, M.R. This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, angular momentum theory and quantum information. More precisely, quon algebras are used for (i) a realization of a generalized Weyl-Heisenberg algebra from which it is possible to associate a fractional supersymmetric dynamical system, (ii) a polar decomposition of SU2 and (iii) a construction of mutually unbiased bases in Hilbert spaces of prime dimension. We also briefly discuss (symmetric informationally complete) positive operator valued measures in the spirit of (iii). 2007 Article Miscellaneous Applications of Quons / M.R. Kibler // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 71 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R50; 81R05; 81R10; 81R15 http://dspace.nbuv.gov.ua/handle/123456789/147191 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, angular momentum theory and quantum information. More precisely, quon algebras are used for (i) a realization of a generalized Weyl-Heisenberg algebra from which it is possible to associate a fractional supersymmetric dynamical system, (ii) a polar decomposition of SU2 and (iii) a construction of mutually unbiased bases in Hilbert spaces of prime dimension. We also briefly discuss (symmetric informationally complete) positive operator valued measures in the spirit of (iii). |
| format |
Article |
| author |
Kibler, M.R. |
| spellingShingle |
Kibler, M.R. Miscellaneous Applications of Quons Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kibler, M.R. |
| author_sort |
Kibler, M.R. |
| title |
Miscellaneous Applications of Quons |
| title_short |
Miscellaneous Applications of Quons |
| title_full |
Miscellaneous Applications of Quons |
| title_fullStr |
Miscellaneous Applications of Quons |
| title_full_unstemmed |
Miscellaneous Applications of Quons |
| title_sort |
miscellaneous applications of quons |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147191 |
| citation_txt |
Miscellaneous Applications of Quons / M.R. Kibler // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 71 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kiblermr miscellaneousapplicationsofquons |
| first_indexed |
2023-05-20T17:26:56Z |
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2023-05-20T17:26:56Z |
| _version_ |
1796153317883117568 |