Asymptotic completeness for n–body schrödinger operators with short–range interactions

DOI10.1080/03605309108820792zbMath0779.35079OpenAlexW2093832916MaRDI QIDQ3978014

Hideo Tamura

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820792

zbMATH Keywords

asymptotic completenessshort-range interactions\(N\)-body Schrödinger operatorsstability of scattering channels

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items

Radiation conditions and scattering theory for \(N\)-particle Hamiltonians ⋮ Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ A Proof of asymptotic completeness for n-body schrodinödinger operators ⋮ N-body quantum scattering theory in two Hilbert spaces. VII. Real-energy limits ⋮ Charge transfer model and three body-scattering ⋮ Long-range scattering for three-body Stark Hamiltonians ⋮ TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS ⋮ The quantum N-body problem ⋮ On the three-body long-range scattering problems ⋮ Differential equations of quantum mechanics ⋮ Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness

Cites Work

• A new proof of the Mourre estimate
• A new proof of the propagation theorem for N-body quantum systems
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
• Propagation Estimate for N-Body Quantum Systems