AN ABSTRACT RADIATION CONDITION AND APPLICATIONS TO N-BODY SYSTEMS

DOI10.1142/S0129055X00000277zbMath1044.81124MaRDI QIDQ4519849

Jacob Schach Møller

Publication date: 4 December 2000

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

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

Related Items (11)

Spiraling attractors and quantum dynamics for a class of long-range magnetic fields ⋮ Regularity of eigenstates in regular Mourre theory ⋮ A new class of Schrödinger operators without positive eigenvalues ⋮ Local resolvent estimates for \(N\)-body Stark Hamiltonians ⋮ The limiting absorption principle for the discrete Wigner-von Neumann operator ⋮ New methods in spectral theory of N-body Schrödinger operators ⋮ Limiting absorption principle for Schrödinger operators with oscillating potentials ⋮ Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians ⋮ Propagation estimates for one commutator regularity ⋮ Two-body short-range systems in a time-periodic electric field ⋮ Fully coupled Pauli-Fierz systems at zero and positive temperature

Cites Work

• Opérateurs conjugués et propriétés de propagation
• Asymptotic completeness for N-body short-range quantum systems: A new proof
• A remark on the micro-local resolvent estimates for two body Schrödinger operators
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Propagation estimates for \(N\)-body Schrödinger operators
• Sharp propagation estimates for \(N\)-particle systems
• Asymptotic completeness of long-range \(N\)-body quantum systems
• A generalization of the radiation condition of Sommerfeld for \(N\)-body Schrödinger operators
• Asymptotic behavior of generalized eigenfunctions in \(N\)-body scattering
• 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
• \(N\)-body resolvent estimates
• Ein gewöhnlicher Differentialoperator zweiter Ordnung für Funktionen mit Werten in einem Hilbertraum
• MULTI-DIMENSIONAL INVERSE SCATTERING THEORY FOR SCHRÖDINGER OPERATORS

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