On the Extension of Inverse Scattering Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1974 English Publisher:Oxford University Press (OUP)Journal:Progress of Theoretical Physics, volume 52, pages 397-414 (issn: 0033-068X, eissn: 1347-4081,

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Authors: Wadati, Miki; Kamijo, Takashi;

doi: 10.1143/ptp.52.397

On the Extension of Inverse Scattering Method

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Abstract

Summary: The inverse scattering method is extended into \(n\times n\) matrix form so as to include wider classes of nonlinear differential equations. As a mathematical foundation for the extension, the inverse scattering problem for the \(n\times n\) Schrodinger equation is discussed and the Gelfand-Levitan-Marcenko equation for the system is derived. Some of the applications of the theory are also discussed.

Related Organizations

Osaka Kyoiku University
Japan

Keywords

Quantum theory

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