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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. doi:10.7907/zqek-hg39.


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:Public (worldwide access)
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:16 Apr 2021 23:02

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