Modified wave operators and Stark Hamiltonians

DOI10.1215/S0012-7094-92-06804-9zbMath0766.35033OpenAlexW1969297561MaRDI QIDQ1202447

Denis A. W. White

Publication date: 2 February 1993

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06804-9

zbMATH Keywords

Stark effectshort-range potentialsconstant electric fieldelectric field effect on spectral propertiesquantum mechanical scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

Related Items (9)

On multidimensional inverse scattering for Stark Hamiltonians ⋮ On inverse scattering problem for the Schrödinger equation with repulsive potentials ⋮ Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ Unnamed Item ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ Unnamed Item ⋮ Inverse scattering in the Stark effect ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Scattering in an external electric field asymptotically constant in time

Cites Work

• Remarks on our paper A scattering theory for time-dependent long-range potentials
• Schrödinger operators with an electric field and random or deterministic potentials
• Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method
• Remarks on Schrödinger operators with an electric field and deterministic potentials
• Asymptotic completeness for a new class of Stark effect Hamiltonians
• A stationary approach to the existence and completeness of long-range wave operators
• A scattering theory for time-dependent long-range potentials
• The existence of wave operators in scattering theory
• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials
• Non-existence of wave operators for Stark effect Hamiltonians
• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• The limiting absorption principle for partial differential operators
• Perturbation results for Stark effect resonances.
• Unnamed Item
• Unnamed Item
• 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: Modified wave operators and Stark Hamiltonians