On scattering theory for long range perturbations of Laplace operators

DOI10.1007/BF02790225zbMath0813.35072OpenAlexW2319678876MaRDI QIDQ1333779

Didier Robert

Publication date: 29 May 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790225

zbMATH Keywords

limiting absorption principleAharonov-Bohn effectconstruction of stationary modifiers

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (8)

Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique ⋮ Spiraling attractors and quantum dynamics for a class of long-range magnetic fields ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ Scattering for Schrödinger Operators with Magnetic Fields ⋮ Asymptotics of the scattering phase for the Dirac operator: high energy, semi-classical and non-relativistic limits ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators ⋮ Long-range scattering matrix for Schrödinger-type operators ⋮ Semi-classical behaviour of the scattering phase for trapping perturbations of the laplacian

Cites Work

• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Differentiability of generalized Fourier transforms associated with Schrödinger operators
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Scattering of particles by long-range magnetic fields
• Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes
• On long-range scattering
• The spectral function of an elliptic operator
• Asymptotique semi-classique du spectre d'hamiltoniens quantiques et trajectories classiques périodiques
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