| Автор | Jin-Quan Chen |
| Автор | Mei-Juan Gao |
| Автор | Xuan-Gen Chen |
| Дата выпуска | 1984-07-11 |
| dc.description | The outer-product reduction coefficients (ORC) which reduce the representation (rep) induced from the irreps of the permutation groups S(f<sub>1</sub>) and S(f<sub>2</sub>) into the irreps of S(f<sub>1</sub> + f<sub>2</sub>) are shown to be the 'indirect coupling' coefficients for the U(m + p/n + q) ⊃ U(m/n) × U(p/q) irreducible basis. The non-standard ORC for reducing the rep induced from the non-standard irreps of S(f<sub>13</sub>) ⊃ S(f<sub>1</sub>) × S(f<sub>3</sub>) and S(f<sub>24</sub>) ⊃ S(f<sub>2</sub>) × S(f<sub>4</sub>) into that of S(f) ⊃ S(f<sub>12</sub>) × S(f<sub>34</sub>), with f<sub>ij</sub> = f<sub>i</sub> + f<sub>j</sub>, f = f<sub>12</sub> + f<sub>34</sub>, are identified with the U(f) ⊃ U(f<sub>12</sub>) × U(f<sub>34</sub>) Clebsch-Gordan coefficient for the special Gel'fand bases of U(f<sub>12</sub>) and U(f<sub>34</sub>). The U(m + p/n + q) ⊃ U(m/n) × U(p/q) CFP, as well as its special case the U(m+p) ⊃ U(m) × U(p) CFP, are identified with the S(f) ⊃ S(f<sub>12</sub>) × S(f<sub>34</sub>) outer-product isoscalar factor. The U(m/n) ⊃ U(m) × U(n) CFP are obtained from the U(m + n) ⊃ U(m) × U(n) CFP by simply changing all the partition labels for U(n) into their conjugates (interchanging rows with columns) and taking into account a phase change. The CFP can be calculated from the ORC. Numerical values of the one-body CFP for systems with up to six particles are tabulated. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Coefficients of fractional parentage for U(m + p/n + q) ⊃ U(m/n) × U(p/q) and U(m/n) ⊃ U(m) × U(n) |
| Тип | paper |
| DOI | 10.1088/0305-4470/17/10/008 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 17 |
| Первая страница | 1941 |
| Последняя страница | 1961 |
| Аффилиация | Jin-Quan Chen; Dept. of Phys., Nanjing Univ., Nanjing, China |
| Аффилиация | Mei-Juan Gao; Dept. of Phys., Nanjing Univ., Nanjing, China |
| Аффилиация | Xuan-Gen Chen; Dept. of Phys., Nanjing Univ., Nanjing, China |
| Выпуск | 10 |
