Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness

DOI10.2977/prims/1195166579zbMath0831.35124OpenAlexW2044360203MaRDI QIDQ1318892

Hideo Tamura

Publication date: 25 February 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166579

zbMATH Keywords

Hamiltonianscattering theorymultiparticle potential

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10)

Related Items (4)

Asymptotic completeness for \(N\)-body Stark Hamiltonians ⋮ Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ Long-range scattering for three-body Stark Hamiltonians ⋮ High-velocity estimates and inverse scattering for quantum N-body systems with Stark effect

Cites Work

• Asymptotic completeness for N-body short-range quantum systems: A new proof
• Asymptotic completeness for a new class of Stark effect Hamiltonians
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Absence of singular continuous spectrum for certain self-adjoint operators
• Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Asymptotic completeness
• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Wave operators and similarity for some non-selfadjoint operators
• ASYMPTOTIC COMPLETENESS OF N-BODY WAVE OPERATORS I: SHORT-RANGE QUANTUM SYSTEMS
• Asymptotic completeness for n–body schrödinger operators with short–range interactions
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