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Relationship between the Schwinger and Kohn-type variational principles in scattering theory

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.

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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.

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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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Department of Energy (DOE)EY-76-G-03-1305
Camille and Henry Dreyfus FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:TAKpra81c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7204
Deposited By: Tony Diaz
Deposited On:17 Jan 2007
Last Modified:08 Nov 2021 20:40

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