Physical Sciences and Mathematics Commons^™

Group Theoretical Analysis Of In-Shell Interaction In Atoms, Yanfang Ho

University of the Pacific Theses and Dissertations

A group theoretic approach to Layzer's 1/2 expansion method is explored. In part this builds on earlier work of Wulfman(2), of Moshinsky et al(l4), and of Sinanoglu, Herrick(lS), and Kellman (16) on second row atoms.

I investigate atoms with electrons in the 3s-3p-3d shell and find:

1. Wulfman's constant of motion accurately predicts configuration mixing for systems with two to eight electrons in the 3s-3p subshell.

2. The same constant of motion accurately predicts configuration mixing for systems with two electrons in the 3s-3p-3d shell.

3. It accurately predicts configuration mixing in systems of high angular momentum L and of …