Atomic structure calculations in a factorized shell

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Abstract

A method is described for calculating matrix elements of operators in a basis in which the spin-up and spin-down spaces of an atomic l shell are both split into separate parts. Instead of elaborate tables of fractional parentage coefficients, only a few reduced matrix elements are required. These are tabulated for d, f, g and h electrons. The transformation coefficients relating the states in the new basis to the familiar LS states are given for f electrons. An operator e h that separates and classifies repeating terms of the configuration h N (in analogy to the separation achieved by Racah for f N ) is shown to take a simpler form if parts off diagonal with respect to N are added to it, thereby accounting for some puzzling coincidences in the eigenvalues of e n .

Publisher

The Royal Society

Subject

Pharmacology (medical)

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lie groups for atomic shells;Physics Reports;1997-06

2. Symmetries of the f shell;Journal of Alloys and Compounds;1993-03

3. Selection rules in the atomicfshell from quarklike substructures;Physical Review Letters;1991-09-23

4. 6-j symbols for SO(2l+1) and a structural analysis in terms of atomic quasiparticles;Journal of Physics A: Mathematical and General;1990-02-21

5. Group theoretical treatments of strongly correlated atomic dynamics;Reports on Progress in Physics;1990-02-01

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