Absence of singular continuous spectrum in 𝑁-body quantum systems

DOI10.1090/S0273-0979-1980-14838-7zbMath0458.35072OpenAlexW1999486748MaRDI QIDQ3907934

Barry Simon, Peter A. Perry, Israel Michael Sigal

Publication date: 1980

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1980-14838-7

zbMATH Keywords

Hamiltonianmultiparticle Schrödinger operatorsN-body quantum systemsabsence of singular spectrumcluster points of point spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Geometric methods in multiparticle quantum systems
• Commutators and scattering theory. I: Repulsive interactions
• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• ON THE POINT SPECTRUM IN THE QUANTUM-MECHANICAL MANY-BODY PROBLEM
• Asymptotic completeness for a class of four particle Schrödinger operators
• Mathematical foundations of quantum scattering theory for multiparticle systems
• On quantum mechanics of many-body systems with dilation-analytic potentials

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