Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials

DOI10.1215/S0012-7094-92-06815-3zbMath0818.34047OpenAlexW1566806754MaRDI QIDQ1210429

Shmuel Agmon, Markus Klein

Publication date: 8 August 1993

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06815-3

zbMATH Keywords

scattering matrixgeneralized eigenfunctionsSchrödinger operator with complex radial long-range potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (9)

Analyticity properties and estimates of resolvent kernels near thresholds ⋮ Semiclassical study of quantum scattering on the line ⋮ Efficient and Accurate Algorithm for the Full Modal Green's Kernel of the Scalar Wave Equation in Helioseismology ⋮ Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size ⋮ Outgoing modal solutions for Galbrun's equation in helioseismology ⋮ Meromorphic Continuation of Scattering Matrices: Long Range, Stark Case ⋮ Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces ⋮ Global uniqueness in a passive inverse problem of helioseismology ⋮ IONIZATION IN A 1-DIMENSIONAL DIPOLE MODEL

Cites Work

• Analyticity properties of eigenfunctions and scattering matrix
• Local distortion technique, resonances, and poles of the S-matrix
• Analytic scattering theory of two-body Schrödinger operators
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Introduction to complex orbital momenta
• Schrödinger Scattering Amplitude. I
• Schrödinger Scattering Amplitude. II
• Schrödinger Scattering Amplitude. III
• Spectral theory of schrödinger operators on euclidean and on non-euclidean spaces
• Résonances en limite semi-classique
• On the Asymptotic Solutions of Ordinary Differential Equations, with Reference to the Stokes' Phenomenon About a Singular Point
• Propriétés analytiques de l’amplitude de diffusion de deux particules chargées interagissant par un potentiel du type de yukawa
• Uniform Asymptotic Formulae for Functions with Transition Points
• Asymptotic Integrations of Linear Differential Equations
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)
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