Factorizations of the S matrix

DOI10.1063/1.528846zbMath0734.47048OpenAlexW2090782584WikidataQ114103905 ScholiaQ114103905MaRDI QIDQ3361460

Roger G. Newton

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528846

zbMATH Keywords

Wiener-Hopf factorizationinverse scattering problemgroup of unitary operatorsS matrix of the Schrödinger equationthree-dimensional inverse scattering problem for the Schrödinger equation with a noncentral potential

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)

Related Items (5)

Uniqueness in some quasi-Goursat problems in 3+1 dimensions and the inverse scattering problem ⋮ A factorization of a special type S matrix into Jost matrices ⋮ 3D inverse scattering ⋮ Explicit Wiener-Hopf factorization for certain non-rational matrix functions ⋮ Solution of some integral equations arising in integral geometry

Cites Work

• Inverse problem of quantum scattering theory. II
• Inverse scattering problem for the 3-D Schrödinger equation and Wiener–Hopf factorization of the scattering operator
• Connection Between the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix and the Tensor Force
• The construction of potentials from theS-matrix for systems of differential equations

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