Scattering theory for \(N\)-particle systems in constant magnetic fields

DOI10.1215/S0012-7094-94-07615-1zbMath0828.35098MaRDI QIDQ1345237

Christian Gérard, Izabella Łaba

Publication date: 4 January 1996

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

zbMATH Keywords

Schrödinger equationbound statesasymptotic completenessprinciple of limiting absorptioncluster hamiltoniansmulti-particle Stark Hamiltonians in uniform electrical fields

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Many-body theory; quantum Hall effect (81V70) Scattering theory of linear operators (47A40)

Related Items (7)

Scattering theory for \(N\)-particle systems in constant magnetic fields ⋮ Asymptotic completeness for particles in combined constant electric and magnetic fields. II. ⋮ Scattering theory forN—particle systems in constant magnetic fields II. Long-range interactions ⋮ The quantum N-body problem ⋮ ON SPECTRAL AND SCATTERING THEORY FOR N-BODY, SCHRÖDINGER OPERATORS IN A CONSTANT MAGNETIC FIELD ⋮ Scattering theory for 3-particle systems in constant magnetic fields: dispersive case ⋮ Differential equations of quantum mechanics

Cites Work

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• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Schrödinger operators with magnetic fields. I: General interactions
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Separation of center of mass in homogeneous magnetic fields
• Long-range one-particle scattering in a homogeneous magnetic field
• Asymptotic completeness of long-range \(N\)-body quantum systems
• Scattering theory for \(N\)-particle systems in constant magnetic fields
• Scattering theory for 3-particle systems in constant magnetic fields: dispersive case

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