| Автор | C Rudowicz |
| Автор | Yu Wan-Lun |
| Дата выпуска | 1991-10-21 |
| dc.description | Double and multiple irreducible products of irreducible tensor operators O<sup>(ki)</sup>(J) obeying special commutation relations arising from the properties of angular momentum operators are considered. It is shown that the double product can be expressed in terms of another set O<sup>(k)</sup> associated with a coupling coefficient epsilon <sub>k</sub><sup>(k1,k2)</sup> defined by (O<sup>(k1)</sup>*O<sup>(k2)</sup>)<sup>(k)</sup>= epsilon <sub>k</sub><sup>(k1,k2)</sup>O<sup>(k)</sup>. An analytical expression has been derived for the coupling coefficient epsilon <sub>k</sub><sup>(k1,K2)</sup> and its values are tabulated for k<sub>1</sub> and k<sub>2</sub> up to 3. It is proved that (O<sup>(k1)</sup>*O<sup>(k2)</sup>)<sup>(k)</sup>=(O<sup>(k2)</sup>*O<sup>(k1)</sup>)<sup>(k)</sup>. Multiple irreducible products are also discussed. The coupling coefficients for triple products are tabulated for Sigma <sub>i</sub>k<sub>i</sub> up to 6. Some important special cases of quadruple products are dealt with explicitly. Applications of the present results to high-order effects in spectroscopy are investigated. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Reduction tables for tensorial products of irreducible tensor operators O<sup>(k)</sup>(J) used in spectroscopy |
| Тип | paper |
| DOI | 10.1088/0953-8984/3/42/017 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 3 |
| Первая страница | 8225 |
| Последняя страница | 8235 |
| Аффилиация | C Rudowicz; Dept. of Appl. Sci., City Polytech. of hong Kong, Kowloon, Hong Kong |
| Аффилиация | Yu Wan-Lun; Dept. of Appl. Sci., City Polytech. of hong Kong, Kowloon, Hong Kong |
| Выпуск | 42 |
