Miscellaneous Applications of Quons
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Miscellaneous Applications of Quons
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| Creator |
Kibler, M.R.
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| 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).
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| Date |
2019-02-13T18:55:17Z
2019-02-13T18:55:17Z 2007 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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