Group theoretical analysis of in-shell interaction in atoms

<p>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.</p> <p>I investigate atoms with electrons in the 3s-3p-3d shell and find:</p> <p>1. Wulfman's constant of motion accurately predicts configuration mixing for systems with two to eight electrons in the 3s-3p subshell.</p> <p>2. The same constant of motion accurately predicts configuration mixing for systems with two electrons in the 3s-3p-3d shell.</p> <p>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.</p> <p>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.</p>

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Physics

Year dc:date.available

1985

Author dc:creator

• Ho, Yanfang

Contributors dc:contributor

• Carl E. Wulfman

• Atoms Mathematical models
• Atomic structure
• Quantum theory
• Lie groups
• Mathematical physics
• Physical Sciences and Mathematics

Licence

• http://rightsstatements.org/vocab/NKC/1.0/

Repository record dc:identifier

https://scholarlycommons.pacific.edu/uop_etds/487

OAI identifier oai:identifier

oai:scholarlycommons.pacific.edu:uop_etds-1486