Remarks on scattering matrices for Schrödinger operators with critically long-range perturbations

DOI10.1007/s00023-020-00943-zzbMath1448.58027arXiv1804.05489OpenAlexW3046849191MaRDI QIDQ2203997

Yanyan Li

Publication date: 2 October 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05489

zbMATH Keywords

scattering theorypseudodifferential operatorprincipal symbolessentially self-adjoint operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Pseudodifferential and Fourier integral operators on manifolds (58J40) (2)-body potential quantum scattering theory (81U05)

Related Items

Long-range scattering matrix for Schrödinger-type operators, Stationary scattering theory for one-body Stark operators. II

Cites Work

• Commutator methods for unitary operators
• The scattering amplitude for the Schrödinger equation with a long-range potential
• Scattering theory: some old and new problems
• Long-range scattering for discrete Schrödinger operators
• Modified wave operators for discrete Schrödinger operators with long-range perturbations
• Microlocal properties of scattering matrices
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