Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions

DOI10.1215/S0012-7094-93-07110-4zbMath0853.70010OpenAlexW2047128422MaRDI QIDQ1312807

Israel Michael Sigal, Avy Soffer

Publication date: 15 January 1997

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-07110-4

Mathematics Subject Classification ID

Motion of charged particles (78A35) (n)-body problems (70F10)

Related Items (12)

Slowly changing potential problems in Quantum Mechanics: Adiabatic theorems, ergodic theorems, and scattering ⋮ The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential ⋮ Scattering theory forN—particle systems in constant magnetic fields II. Long-range interactions ⋮ TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS ⋮ Unnamed Item ⋮ Propagation of singularities in many-body scattering ⋮ Propagation of singularities in many-body scattering in the presence of bound states ⋮ Scattering theory for 3-particle systems in constant magnetic fields: dispersive case ⋮ Long-range one-particle scattering in a homogeneous magnetic field ⋮ Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions ⋮ Differential equations of quantum mechanics ⋮ Asymptotic completeness for 3-particle long-range systems

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