Asymptotic completeness for particles in combined constant electric and magnetic fields. II.

DOI10.1215/S0012-7094-97-08915-8zbMath1144.35350OpenAlexW1509191517MaRDI QIDQ1366695

Erik Skibsted

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08915-8

zbMATH Keywords

local singularitiesCoulomb singularityevolution group

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields ⋮ ON SPECTRAL AND SCATTERING THEORY FOR N-BODY, SCHRÖDINGER OPERATORS IN A CONSTANT MAGNETIC FIELD ⋮ Differential equations of quantum mechanics

Cites Work

• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Temporal exponential decay for the Stark effect in atoms
• Schrödinger operators with magnetic fields. I: General interactions
• Separation of center of mass in homogeneous magnetic fields
• Scattering theory for \(N\)-particle systems in constant magnetic fields
• Spectral analysis of \(N\)-body Stark Hamiltonians
• Asymptotic completeness for \(N\)-body Stark Hamiltonians
• Asymptotic completeness for long-range many-particle systems with Stark effect. II
• Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
• Scattering theory forN—particle systems in constant magnetic fields II. Long-range interactions
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