| Автор | Zhe Chang |
| Автор | Han-Ying Guo |
| Автор | Hong Yan |
| Дата выпуска | 1992-03-21 |
| dc.description | The authors introduce a pair of canonical-conjugate q-deformed operators D, X and discuss the relations between the deformed operators D, X and q-series. The realizations of some Lie symmetries, Heisenberg and quantum Heisenberg algebras are given for the operators D and X. They show that the q-analogous Hermite polynomials are representations of Heisenberg and quantum Heisenberg algebras realized in this way. When q is a root of unity, the properties of the q-analogous Hermite polynomials are also discussed. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The q-Hermite polynomial and the representations of Heisenberg and quantum Heisenberg algebras |
| Тип | paper |
| DOI | 10.1088/0305-4470/25/6/012 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 25 |
| Первая страница | 1517 |
| Последняя страница | 1525 |
| Аффилиация | Zhe Chang; CCAST, World Lab., Beijing, China |
| Аффилиация | Han-Ying Guo; CCAST, World Lab., Beijing, China |
| Аффилиация | Hong Yan; CCAST, World Lab., Beijing, China |
| Выпуск | 6 |
