Upper bounds for the many-channel Marchenko transformation operator and its derivatives

DOI10.1063/1.524150zbMath0432.35064OpenAlexW1983758588MaRDI QIDQ3869715

Pierre Rochus

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524150

zbMATH Keywords

Coulomb interactionspotentialsJost solution2-body potential scattering theorygeneralized Marchenko fundamental equationMarchenko type transformationRiemann-Green solutionsystem of coupled Schrödinger's equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Extension of the Marchenko equation to non-Hermitian differential systems

Cites Work

• On the Riemann-Green function
• An addition formula for Riemann functions
• Many-channel Gel'fand-Levitan equations
• The use of infinitesimal transformations in predicting the form of the Riemann (-Green) function
• Partial differential matrix equations for the inverse problem of scattering theory
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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