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Date of Award

1985

Document Type

Thesis - Pacific Access Restricted

Degree Name

Master of Science (M.S.)

Department

Physics

First Advisor

Carl E. Wulfman

First Committee Member

Neil L. Lack

Second Committee Member

J. F. Rodriguez

Third Committee Member

Bruce W. Shore

Abstract

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 high spin angular momentum S containing three electrons in the 3s-3p-3d shell, but gives less accurate results when L and S are both small.

I also show how effective nuclear charges may be calculated by a group theoretical approach. In addition I explore several new methods for expressing electron repulsion operators in terms of operators of the 80(4,2) dynamical group of one - electron atoms.

Pages

120

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