Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits

DOI10.5802/aif.1162zbMath0659.35026OpenAlexW2070141139MaRDI QIDQ1112245

Didier Robert, Hideo Tamura

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_1_155_0

zbMATH Keywords

Schrödinger operatorsscattering amplitudeslow energy behaviornon-trapping energy rangesemi-classical asymptotic behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (18)

Semi-classical behavior of the spectral function ⋮ A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians ⋮ An inverse scattering problem for the Schrödinger equation in a semiclassical process ⋮ Charge transfer model and three body-scattering ⋮ Semiclassical measure for the solution of the dissipative Helmholtz equation ⋮ Approximation and equidistribution of phase shifts: spherical symmetry ⋮ Semi-classical-Fourier-integral-operator-valued pseudodifferential operators and scattering in a strong magnetic field ⋮ The semiclassical resolvent and the propagator for non-trapping scattering metrics ⋮ Structure of the Semi-Classical Amplitude for General Scattering Relations ⋮ Equidistribution of phase shifts in semiclassical potential scattering ⋮ The radiation field is a Fourier integral operator. ⋮ Limit measures for the Helmholtz equation in the non-trapping case ⋮ Applications of resonance theory without analyticity assumption ⋮ Unnamed Item ⋮ Stationary scattering in the semi-classical limit for a Schrödinger operator in a gauge field ⋮ Uniform resolvent estimates for a non-dissipative Helmholtz equation ⋮ Semi-classical behavior of the scattering amplitude for trapping perturbations ⋮ Scattering amplitude for dirac operators

Cites Work

• Low-energy parameters in nonrelativistic scattering theory
• A remark on the micro-local resolvent estimates for two body Schrödinger operators
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Finite total cross-sections in nonrelativistic quantum mechanics
• Quasiclassical approximation in stationary scattering problems
• QUASICLASSICAL ASYMPTOTICS OF THE SCATTERING AMPLITUDE FOR THE SCATTERING OF A PLANE WAVE BY INHOMOGENEITIES OF THE MEDIUM
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits