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Date of Award
1985
Document Type
Thesis
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
Recommended Citation
Ho, Yanfang. (1985). Group theoretical analysis of in-shell interaction in atoms. University of the Pacific, Thesis. https://scholarlycommons.pacific.edu/uop_etds/487
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