Remarks on the spectral theory for the multiparticle-type Schrödinger operator

DOI10.1007/BF02107245zbMath0582.35034OpenAlexW2030992465MaRDI QIDQ1069029

Dimitri Yafaev

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107245

zbMATH Keywords

scatteringlimiting absorption principleMourre's methodmultiparticle Schrödinger operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Quantum scattering theory (81U99)

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Cites Work

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• Spectral representations for Schrödinger operators with long-range potentials
• A new proof of the Mourre estimate
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• On the break-down of completeness of wave operators in potential scattering
• The low energy scattering for slowly decreasing potentials
• A time-dependent approach to the completeness of multiparticle quantum systems