Phase-space description of time-delay in scattering theory

DOI10.1080/03605308808820542zbMath0644.35079OpenAlexW2323509058MaRDI QIDQ3786853

Xue Ping Wang

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03605308808820542

zbMATH Keywords

perturbationHamiltonianscattering matrixspectral representationtime-delay operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)

Related Items (7)

Time delay for the Dirac equation ⋮ TIME DELAY FOR DISPERSIVE SYSTEMS IN QUANTUM SCATTERING THEORY ⋮ Time delay is a common feature of quantum scattering theory ⋮ Existence of time-delay operators for stark hamiltonians ⋮ Quantum time delay for unitary operators: General theory ⋮ Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials ⋮ Anisotropic Lavine's formula and symmetrised time delay in scattering theory

Cites Work

• Unnamed Item
• Unnamed Item
• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• A construction of the fundamental solution for the Schrödinger equation
• Approximation semi-classique de l'equation de Heisenberg. (Semi-classical approximation of the Heisenberg equation)
• On the Eisenbud-Wigner formula for time-delay
• Time-delay in potential scattering theory. Some geometric results
• Sojourn times and asymptotic properties of the scattering matrix
• The low energy scattering for slowly decreasing potentials
• Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
• Time delay for long-range interactions
• Time delay and dilation properties in scattering theory
• On the Lax-Phillips scattering theory
• A Class of Bounded Pseudo-Differential Operators
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

This page was built for publication: Phase-space description of time-delay in scattering theory