Miscellaneous Applications of Quons
| dc.creator | Kibler, Maurice R. | |
| dc.date | 2007-09-24 | |
| dc.date.accessioned | 2026-07-07T09:34:46Z | |
| dc.date.available | 2026-07-07T09:34:46Z | |
| dc.description | This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras 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 SU_2 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). | |
| dc.description | This is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0709.3698 | |
| dc.identifier | http://arxiv.org/abs/0709.3698 | |
| dc.identifier | SIGMA 3 (2007), 092, 14 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159611 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Miscellaneous Applications of Quons | |
| dc.type | text |