Local spectral deformation techniques for Schrödinger operators

DOI10.1016/0022-1236(84)90033-8zbMath0556.35033OpenAlexW2040396178MaRDI QIDQ761634

Erik Balslev

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90033-8

zbMATH Keywords

analytic continuationS-matrix2-body Schrödinger operatorsexponentially decaying potentiallocal spectral deformationradial dilation-analytic potentialResonances

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) General quantum mechanics and problems of quantization (81S99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Resonance functions for radial Schrödinger operators ⋮ Analyticity properties of eigenfunctions and scattering matrix ⋮ Prolongement méromorphe de la matrice de diffusion pour les problèmes à $N$ corps à longue portée ⋮ Space-time picture of semiclassical resonances ⋮ Potentials Producing Maximally Sharp Resonances ⋮ Unnamed Item

Cites Work

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• A characterization of dilatation analytic integral kernels
• A characterization of dilation-analytic potentials and vectors
• Complex dynamical variables for multiparticle systems with analytic interactions. II
• 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
• Resonances, scattering theory, and rigged Hilbert spaces
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

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