Criteria for the Kato smoothness with respect to a dispersive N-body Schrödinger operator

DOI10.1063/1.528818zbMath0716.47006OpenAlexW2072265342MaRDI QIDQ3203573

Jan Dereziński

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528818

zbMATH Keywords

pseudodifferential operatordispersive N-body Schrödinger opratorKato smooth

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) 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 (1)

On the three-body long-range scattering problems

Cites Work

• Unnamed Item
• Opérateurs conjugués et propriétés de propagation
• A new proof of the Mourre estimate
• The N-particle scattering problem: asymptotic completeness for short- range systems
• 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
• Geometric methods in the quantum many-body problem. Nonexistence of very negative ions
• Geometric methods in multiparticle quantum systems
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Pseudo-differential operators and non-elliptic boundary problems
• Wave operators and similarity for some non-selfadjoint operators
• Commutators and scattering theory. I: Repulsive interactions
• Absolute continuity of Hamiltonian operators with repulsive potentials
• A time-dependent approach to the completeness of multiparticle quantum systems
• Completeness of the wave operators in the repulsive N-body problem

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