scientific article; zbMATH DE number 4194323

zbMath0724.35083MaRDI QIDQ5758590

Christian Gérard

Publication date: 1991

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1991__54_1_59_0

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zbMATH Keywords

thresholdsasymptotic completenessMourre estimatewave operatorsabsence of singular continuous spectrumdispersive Hamiltonians

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (10)

Asymptotic completeness for multiparticle dispersive charge transfer models ⋮ Dispersive charge transfer model with long-range quantum interactions ⋮ The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold ⋮ Towards asymptotic completeness of two-particle scattering in local relativistic QFT ⋮ A criterion for asymptotic completeness in local relativistic QFT ⋮ Scaling limits for the system of semi-relativistic particles coupled to a scalar Bose field ⋮ On the spectral analysis of many-body systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Estimations de diffusion pour un opérateur de Klein-Gordon matriciel dépendant du temps

Cites Work

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• A new proof of the Mourre estimate
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Time-dependent approach to nonrelativistic multichannel scattering

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