Phd records
https://feeds.library.caltech.edu/people/Alden-Lucas-Avery/Phd.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenWed, 31 Jan 2024 18:46:20 +0000The Effect of Configuration Interaction on Intensity Anomalies
https://resolver.caltech.edu/CaltechETD:etd-03172009-155934
Authors: {'items': [{'id': 'Alden-Lucas-Avery', 'name': {'family': 'Alden', 'given': 'Lucas Avery'}, 'show_email': 'NO'}]}
Year: 1935
DOI: 10.7907/3CAQ-KN65
<p>The problem of theoretical analysis of complex spectra is outlined with attention to various methods available for the computation of the Russell-Saunders wave functions, which form a basis for most other computations. In order to investigate intensity anomalies due to interconfiguration perturbations in two electron spectra, the non-diagonal matrix elements of the electrostatic interaction, between states describable by L-S wave functions, are computed by the symbolic “spinor” formulation of Weyl's group theory as developed by Kramers and Brinkman. A closed expression is obtained which embodies the results of what would be in the Schrodinger method a sum of integrals over angular wave functions; the radial integrals are still to be evaluated. A neat graphical method for computing the radial integrals, providing Slater's approximation to the Hartree wave functions can be used, is worked out.</p>
<p>Transition intensities are computed using this configuration interaction, and the effect of introducing as well that of the spin-orbit term is investigated. Formulae are derived which show that the first-order term in absolute intensity anomalies is due to the interconfiguration electrostatic term alone, which however leaves relative intensities within a given multiplet transition unaffected. The first-order correction term in the latter (second-order term for absolute intensities) depends upon a product of factors depending on the electrostatic and spin-orbit interactions respectively.</p>
https://thesis.library.caltech.edu/id/eprint/990