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Variational scattering theory using a functional of fractional form. I. General theory

Takatsuka, Kazuo and McKoy, Vincent (1981) Variational scattering theory using a functional of fractional form. I. General theory. Physical Review A, 23 (5). pp. 2352-2358. ISSN 0556-2791. http://resolver.caltech.edu/CaltechAUTHORS:TAKpra81b

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Abstract

We propose a variational method for scattering in which the functional is of a fractional form as for the Schwinger variational principle. However, our functional does not involve the Green's function, but the Hamiltonian and the potential function. This method shows features of both the Schwinger-type variational principles and the Kohn-type standard variational principles. As a result, our method can derive distinct advantages from both of these approaches. The resultant K matrix is symmetric and anomaly-free. Some other properties, including a minimum principle, which is useful in the selection of an optimum basis for the expansion of the scattering functions are also discussed.


Item Type:Article
Additional Information:©1981 The American Physical Society. Received 9 May 1980. This work was supported in part by a grant from the National Science Foundation No. CHE79-15807 and by an Institutional Grant from the U.S. Department of Energy No. EY-76-G-03-1305.
Record Number:CaltechAUTHORS:TAKpra81b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:TAKpra81b
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.23.2352
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7203
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Jan 2007
Last Modified:26 Dec 2012 09:29

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