The N-particle scattering problem: asymptotic completeness for short- range systems
From MaRDI portal
Publication:1103847
DOI10.2307/1971345zbMath0646.47009OpenAlexW2317453708MaRDI QIDQ1103847
Avy Soffer, Israel Michael Sigal
Publication date: 1987
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971345
Related Items (96)
ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS ⋮ Strichartz estimates for \(N\)-body Schrödinger operators with small potential interactions ⋮ Asymptotic completeness for four-body Schrödinger operators with short- range interactions ⋮ Radiation conditions and scattering theory for \(N\)-particle Hamiltonians ⋮ SMOOTHNESS AND HIGH ENERGY ASYMPTOTICS OF THE SPECTRAL SHIFT FUNCTION IN MANY-BODY SCATTERING ⋮ Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ Fundamental solutions and eigenfunction expansions for Schrödinger operators. I: Fundamental solutions ⋮ Scattering theory for \(N\)-particle systems in constant magnetic fields ⋮ Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Free channel Fourier transform in the long-range \(N\)-body problem ⋮ Slowly changing potential problems in Quantum Mechanics: Adiabatic theorems, ergodic theorems, and scattering ⋮ Multichannel nonlinear scattering for nonintegrable equations ⋮ Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy ⋮ Asymptotic completeness for \(N\)-body Stark Hamiltonians ⋮ Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ A Proof of asymptotic completeness for n-body schrodinödinger operators ⋮ Multi-center vector field methods for wave equations ⋮ Criteria for the Kato smoothness with respect to a dispersive N-body Schrödinger operator ⋮ N-body quantum scattering theory in two Hilbert spaces. VII. Real-energy limits ⋮ Structure of the resolvent for three-body potentials ⋮ Asymptotic completeness for multiparticle dispersive charge transfer models ⋮ Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases ⋮ Dispersive charge transfer model with long-range quantum interactions ⋮ Charge transfer model and three body-scattering ⋮ A new proof of the propagation theorem for N-body quantum systems ⋮ The Mourre theory for analytically fibered operators ⋮ Parametrices for a class of schrodinger equations ⋮ Unnamed Item ⋮ Asymptotic observables in gapped quantum spin systems ⋮ Asymptotic completeness in nonrelativistic quantum field theory ⋮ Scattering theory forN—particle systems in constant magnetic fields II. Long-range interactions ⋮ Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation ⋮ N-body quantum scattering theory in two Hilbert spaces. VI. Compactness conditions ⋮ The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold ⋮ Scattering theory for mathematical models of the weak interaction ⋮ Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces ⋮ Mourre estimates for compatible Laplacians on complete manifolds with corners of codimension 2 ⋮ A remark on simple scattering theory ⋮ Long-range scattering for three-body Stark Hamiltonians ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors ⋮ Propagation through trapped sets and semiclassical resolvent estimates ⋮ On a variant of commutator estimates in spectral theory ⋮ Commutators of Schrödinger Hamiltonians and applications in scattering theory ⋮ Towards asymptotic completeness of two-particle scattering in local relativistic QFT ⋮ Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials ⋮ TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A criterion for asymptotic completeness in local relativistic QFT ⋮ Long-range scattering in the position representation ⋮ Asymptotic completeness for the massless spin-boson model ⋮ The commutator method for form-relatively compact perturbations ⋮ Propagation of singularities in many-body scattering ⋮ The quantum N-body problem ⋮ Schrödinger operators in the twentieth century ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Structures of S-matrices for three body Schrödinger operators ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ Sharp propagation estimates for \(N\)-particle systems ⋮ On the positivity of propagator differences ⋮ On Rayleigh scattering in non-relativistic quantum electrodynamics ⋮ Large time behavior of classical \(N\)-body systems ⋮ On the three-body long-range scattering problems ⋮ Mass and spin renormalization in Lorentz electrodynamics ⋮ Minimal photon velocity bounds in non-relativistic quantum electrodynamics ⋮ Propagation of singularities in many-body scattering in the presence of bound states ⋮ Propagation estimates for Dirac operators and application to scattering theory. ⋮ Continuous spectrum of automorphism groups and the infraparticle problem ⋮ Unnamed Item ⋮ ON SPECTRAL AND SCATTERING THEORY FOR N-BODY, SCHRÖDINGER OPERATORS IN A CONSTANT MAGNETIC FIELD ⋮ ON THE SCATTERING THEORY OF MASSLESS NELSON MODELS ⋮ Radiation and Scattering in Non-relativistic Quantum Electrodynamics ⋮ Phase space analysis on some black hole manifolds ⋮ On the Ehrenfest theorem of quantum mechanics ⋮ Unnamed Item ⋮ Mixing properties of quantum systems ⋮ Scattering theory for 3-particle systems in constant magnetic fields: dispersive case ⋮ The wave equation on asymptotically de Sitter-like spaces ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Scattering matrices for the quantum 𝑁 body problem ⋮ On pointwise decay of waves ⋮ Asymptotic Completeness in Quantum Field Theory. A Class of Galilei-Covariant Models ⋮ Two-body short-range systems in a time-periodic electric field ⋮ Total cross sections in \(N\)-body problems: Finiteness and high energy asymptotics ⋮ Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions ⋮ Asymptotic completeness for N-body short-range quantum systems: A new proof ⋮ Unnamed Item ⋮ Differential equations of quantum mechanics ⋮ Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness ⋮ Asymptotic completeness for 3-particle long-range systems ⋮ On eigenfunction expansions and scattering theory ⋮ Entropy production by block variable summation and central limit theorems ⋮ Unnamed Item ⋮ A geometric approach to the Landauer-Büttiker formula
This page was built for publication: The N-particle scattering problem: asymptotic completeness for short- range systems
