Quantum Scattering for Potentials Independent of |x|: Asymptotic Completeness for High and Low Energies

DOI10.1081/PDE-120030408zbMath1064.35128arXiv0907.4351OpenAlexW1979490155MaRDI QIDQ3157903

Ira W. Herbst, Erik Skibsted

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4351

zbMATH Keywords

wave operatorsMorse functionquantum mechanical potential scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Scattering theory of linear operators (47A40)

Related Items (10)

The density of states depends on the domain ⋮ Spectral asymptotics for the Schrödinger operator with a non-decaying potential ⋮ Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy ⋮ Spiraling attractors and quantum dynamics for a class of long-range magnetic fields ⋮ Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation ⋮ On open scattering channels for manifolds with ends ⋮ An Evolutions Equation as the WKB Correction in Long-Time Asymptotics of Schrödinger Dynamics ⋮ Geometric Scattering for Schrödinger Operators with Asymptotically Homogeneous Potentials of Order Zero ⋮ A Dixmier trace formula for the density of states ⋮ Propagation of Singularities Around a Lagrangian Submanifold of Radial Points

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