ON SPECTRAL AND SCATTERING THEORY FOR N-BODY, SCHRÖDINGER OPERATORS IN A CONSTANT MAGNETIC FIELD

DOI10.1142/S0129055X02001132zbMath1029.81068MaRDI QIDQ4420433

Tadayoshi Adachi

Publication date: 17 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic completenessexistence of a conjugate operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

Cites Work

• Asymptotic completeness for N-body short-range quantum systems: A new proof
• Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials
• A new proof of the Mourre estimate
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Schrödinger operators with magnetic fields. I: General interactions
• Separation of center of mass in homogeneous magnetic fields
• Asymptotic completeness of long-range \(N\)-body quantum systems
• Scattering theory for \(N\)-particle systems in constant magnetic fields
• Asymptotic completeness for particles in combined constant electric and magnetic fields. II.
• Scattering theory for 3-particle systems in constant magnetic fields: dispersive case
• Radiation conditions and scattering theory for \(N\)-particle Hamiltonians
• Scatteing for hydrogen-like systems in a constant magnetic field
• Scattering theory forN—particle systems in constant magnetic fields II. Long-range interactions

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