Low-energy parameters in nonrelativistic scattering theory

DOI10.1016/0003-4916(83)90242-7zbMath0542.35056OpenAlexW2069045549MaRDI QIDQ795231

Friedrich Gesztesy, D. Bollé, Ludwig Streit, Raphael J. Høegh-Krohn, Sergio A. Albeverio

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90242-7

zbMATH Keywords

Schrödinger operatorsscattering lengthnon-relativisticCoulomb- modified scattering lengtheffective range parameterlow- energy behaviournon- spherically symmetric potentialsshort-range perturbationshort-range scattering

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 (13)

Scattering theory for long-range systems at threshold ⋮ Schrödinger operators with point interactions and short range expansions ⋮ On the connection between Schrödinger and Dirichlet forms ⋮ Scattering theory for general, non-local interactions: Threshold behavior and sum rules ⋮ Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits ⋮ Asymptotic expansion in time of the Schrödinger group on conical manifolds ⋮ A new Levinson's theorem for potentials with critical decay ⋮ Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Low-energy potential scattering in two and three dimensions ⋮ Unnamed Item ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Unnamed Item

Cites Work

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• The short range expansion
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)
• Brownian motion, \(L^p\) properties of Schrödinger operators and the localization of binding
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Large time behavior of the \(L^ p\) norm of Schrödinger semigroups
• On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
• The low energy scattering for slowly decreasing potentials
• An abstract stationary approach to perturbation of continuous spectra and scattering theory
• Schrödinger semigroups
• Schrödinger Scattering Amplitude. III
• Table errata: Table of integrals, series, and products [corrected and enlarged edition, Academic Press, New York, 1980; MR 81g:33001 by I. S. Gradshteyn [I. S. Gradshteĭn] and I. M. Ryzhik]
• On the structure of Coulomb-type scattering amplitudes
• On the behaviour of the partial-wave amplitudes for large angular momenta in potential scattering

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