Takatsuka, Kazuo and Lucchese, Robert R. and McKoy, Vincent (1981) Relationship between the Schwinger and Kohn-type variational principles in scattering theory. Physical Review A, 24 (4). pp. 1812-1816. ISSN 0556-2791. doi:10.1103/PhysRevA.24.1812. https://resolver.caltech.edu/CaltechAUTHORS:TAKpra81c
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Abstract
We establish the correct mathematical relationship between the Schwinger and Kohn variational principles for scattering theory and show that the Schwinger principle is one rank higher than the Kohn principle. If the same trial scattering wave function is used in these two principles, the Schwinger method should hence give superior results. Application of the Schwinger and Kohn variational principles to scattering by a simple model potential gives results which clearly illustrate this relationship.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1981 The American Physical Society. Received 24 October 1980; revised 9 February 1981. This work was supported by a grant from the National Science Foundation, No. CHE79-15807, and by an institutional grant from the United States Department of Energy (No. EY-76-G-03-1305). The research reported in this paper made use of the Dreyfus-NSF Theoretical Chemistry Computer which was funded through grants from the Camille and Henry Dreyfus Foundation, the National Science Foundation (Grant No. CHE78-20235), and the Sloan Fund of the California Institute of Technology. | ||||||||||||
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| Issue or Number: | 4 | ||||||||||||
| DOI: | 10.1103/PhysRevA.24.1812 | ||||||||||||
| Record Number: | CaltechAUTHORS:TAKpra81c | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:TAKpra81c | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 7204 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 17 Jan 2007 | ||||||||||||
| Last Modified: | 08 Nov 2021 20:40 |
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