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Author Rose, J. H.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ INVERSE SCATTERING PROBLEM ♦ SCHROEDINGER EQUATION ♦ VARIATIONAL METHODS ♦ SCATTERING AMPLITUDES ♦ BOUND STATE ♦ ONE-DIMENSIONAL CALCULATIONS ♦ THREE-DIMENSIONAL CALCULATIONS ♦ POTENTIALS ♦ BOUND STATES
Abstract A global minimum principle is reported for inverse scattering for Schr{umlt o}dinger{close_quote}s equation without bound states. For the one-dimensional problem, the line integral of the potential on the interval {l_brace}{minus}{infinity},{ital x}{r_brace} can be found by minimizing a certain functional of the scattering amplitude and a variational wave field. In three dimensions, the minimum of a closely related functional is shown to yield {minus}{integral}{ital d}{sup 3}y{nu}(y)/{vert_bar}x{minus}y{vert_bar}{sup 2}, where {nu}(x) is the potential. {copyright} {ital 1996 The American Physical Society.}
ISSN 00319007
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-11-01
Publisher Department Ames National Laboratory
Publisher Place United States
Journal Physical Review Letters
Volume Number 77
Issue Number 20
Organization Ames National Laboratory


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