Meromorphic Continuation of Scattering Matrices: Long Range, Stark Case

DOI10.1080/03605300701588755zbMath1151.35064OpenAlexW2014249306MaRDI QIDQ5459770

Denis A. W. White

Publication date: 29 April 2008

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

Full work available at URL: https://doi.org/10.1080/03605300701588755

zbMATH Keywords

Schrödinger operatoranalytic continuationquantum scatteringStark effect

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on our paper A scattering theory for time-dependent long-range potentials
• Analytic properties of the scattering matrix of many particle systems
• Dilation analyticity in constant electric field I. The two body problem
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• A scattering theory for time-dependent long-range potentials
• Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials
• The existence of wave operators in scattering theory
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Analytic scattering theory of two-body Schrödinger operators
• The scattering matrix and its meromorphic continuation in the Stark effect case
• Introduction to spectral theory. With applications to Schrödinger operators
• On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
• A Class of Bounded Pseudo-Differential Operators