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A superposition principle for Siegert resonant states

Huestis, David L. (1975) A superposition principle for Siegert resonant states. Journal of Mathematical Physics, 16 (10). pp. 2148-2152. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:HUEjmp75

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Abstract

The utilization of the Siegert resonant states as a natural basis for the scattering process has been constrained by the lack of a convergent superposition formula. This paper presents such an expansion of the exact scattering wavefunction over the s-wave Siegert resonant states for finite range potentials. Any integral property of the scattering wavefunction can then be calculated from the resonances.


Item Type:Article
Additional Information:© 1975 American Institute of Physics. Received 5 May 1975. It is my pleasure to acknowledge the helpful suggestions of Professor J.K. Knowles and Professor T.C. McGill. In particular I would like to thank Professor W.A. Goddard III for his unfailing interest, encouragement, enthusiasm, and support, not to mention many discussions and suggestions. Partially supported by National Science Foundation (Grant GP-15423) and by the President’s Fund Grant (PF-013) of the California Institute of Technology. Taken in part from a thesis submitted 19 September 1972 to the Division of Chemistry and Chemical Engineering in partial fulfillment of the requirements for the Ph.D. degree, California Institute of Technology, 1973.
Record Number:CaltechAUTHORS:HUEjmp75
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HUEjmp75
Alternative URL:http://dx.doi.org/10.1063/1.522449
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10589
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 May 2008
Last Modified:26 Dec 2012 10:02

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