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I. The projected GI method and the excited states of H_2. II. A superposition principle for Seigert resonant states


Huestis, David Lee (1973) I. The projected GI method and the excited states of H_2. II. A superposition principle for Seigert resonant states. Dissertation (Ph.D.), California Institute of Technology.


The simplest orbital wavefunction that adequately describes the dissociation of the excited states of homonuclear diatomic molecules must involve a spatial symmetry projection operator. The use of such a wavefunction has been developed in detail and applied to the excited states of the hydrogen molecule. It was found that the advantages of an independent-particle description are enhanced considerably by spatial projection. The low-lying Σ states of H_2 are explained unambiguously and convincingly in terms of orbital character based on the model of the one-electron heteronuclear diatomics. Recent experimental work in electron impact spectroscopy has illustrated that short-lived negative-ion resonances must play an important role. In an attempt to show that such resonances form a natural and complete characterization of the scattering process, the properties of the resonant states defined by Siegert have been investigated. In specific, a superposition principle for Siegert states was found, which provides a complete description of any quantum mechanical event involving a potential of finite range.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Chemistry
Degree Grantor:California Institute of Technology
Division:Chemistry and Chemical Engineering
Major Option:Chemistry
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Goddard, William A., III
Thesis Committee:
  • Unknown, Unknown
Defense Date:19 September 1972
Record Number:CaltechTHESIS:11052009-132233582
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5353
Deposited By: Tony Diaz
Deposited On:17 Nov 2009 23:27
Last Modified:26 Dec 2012 03:18

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