A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA
dc.contributor.author | De Bie , Hendrik | |
dc.contributor.author | Genest Xavier, Vincent | |
dc.contributor.author | Lemay , Jean-Michel | |
dc.contributor.author | Vinet , Luc | |
dc.date.accessioned | 2017-02-09T11:34:14Z | |
dc.date.available | 2017-02-09T11:34:14Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Acta Polytechnica. 2016, vol. 56, no. 3, p. 166-172. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/67261 | |
dc.description.abstract | A quantum superintegrable model with reflections on the three-sphere is presented. Its symmetry algebra is identified with the rank-two Bannai-Ito algebra. It is shown that the Hamiltonian of the system can be constructed from the tensor product of four representations of the superalgebra osp(1|2) and that the superintegrability is naturally understood in that setting. The exact separated solutions are obtained through the Fischer decomposition and a Cauchy-Kovalevskaia extension theorem. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/3493 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Bannai-Ito algebra | en |
dc.subject | Cauchy-Kovalevskaia extension | en |
dc.subject | quantum superintegrable model | en |
dc.title | A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA | |
dc.type | article | en |
dc.date.updated | 2017-02-09T11:34:14Z | |
dc.identifier.doi | 10.14311/AP.2016.56.0166 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
Soubory tohoto záznamu
Tento záznam se objevuje v následujících kolekcích
Kromě případů, kde je uvedeno jinak, licence tohoto záznamu je Creative Commons Attribution 4.0 International License