A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA
| Autor: | Hendrik De Bie, Vincent Xavier Genest, Jean-Michel Lemay, Luc Vinet |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Acta Polytechnica, Vol 56, Iss 3, Pp 166-172 (2016) |
| Druh dokumentu: | article |
| ISSN: | 1210-2709 1805-2363 |
| DOI: | 10.14311/AP.2016.56.0166 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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