| Автор | P H M Uylings |
| Дата выпуска | 1984-06-28 |
| dc.description | The l<sup>N</sup> configuration is described as a collection of <sup>1</sup>/<sub>2</sub>N(N-1) electron pairs, with the angular momenta of the electrons of each pair being coupled to the (2l+1) SL terms of l<sup>2</sup>. In this way, a set of parameters is defined which can be visualised as the energies of these particular SL terms. The parameters represent the effects of two-particle excitations on the l<sup>N</sup> configuration to second order. Moreover, they turn out, after a minor modification, to form an orthogonal set. The number of pairs multiplied by the average pair energy proves to be equal to the average energy of the full l<sup>N</sup> configuration. Inner products of general two-particle operators are calculated and conditions for their orthogonality are derived. For the d<sup>N</sup> configurations, two orthogonal three-body operators are added in order to obtain a complete set of electrostatic parameters. A simple general procedure is sketched that allows for the determination of the contributions of physical excitations to the various orthogonal parameters. This is illustrated by the s to d case. Values of all the matrix elements used are given. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Energies of N equivalent electrons expressed in terms of two-electron energies and independent three-electron parameters: a new complete set of orthogonal operators. I. Theory |
| Тип | paper |
| DOI | 10.1088/0022-3700/17/12/009 |
| Print ISSN | 0022-3700 |
| Журнал | Journal of Physics B: Atomic and Molecular Physics |
| Том | 17 |
| Первая страница | 2375 |
| Последняя страница | 2392 |
| Аффилиация | P H M Uylings; Zeeman-Lab., Univ. van Amsterdam, Amsterdam, Netherlands |
| Выпуск | 12 |
