Analyticity properties of eigenfunctions and scattering matrix

DOI10.1007/BF01229457zbMath0662.35079MaRDI QIDQ1113379

Erik Balslev

Publication date: 1988

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

zbMATH Keywords

resolventS-matrixgeneralized eigenfunctionspotentialsanalytic extensionlower half-plane

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Analyticity in context of PDEs (35A20) (S)-matrix theory, etc. in quantum theory (81U20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Existence of outgoing solutions for perturbations of and applications to the scattering matrix ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Local spectral deformation techniques for Schrödinger operators
• Resonance functions for radial Schrödinger operators
• Analytic scattering theory of two-body Schrödinger operators
• Scattering theory for differential operators. I: Operator theory
• Spectral theory of schrödinger operators on euclidean and on non-euclidean spaces
• Extended limiting absorption method and analicity of the S-matrix.

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