LOCALLY SMOOTH OPERATORS AND THE LIMITING ABSORPTION PRINCIPLE FOR N-BODY HAMILTONIANS

DOI10.1142/S0129055X93000048zbMath0806.47063OpenAlexW1970391845MaRDI QIDQ4277365

Vladimir Georgescu, Marius Măntoiu, Anne Boutet de Monvel-Berthier

Publication date: 9 February 1994

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

Full work available at URL: https://doi.org/10.1142/s0129055x93000048

zbMATH Keywords

Besov spacesscattering theorylimiting absorption principleMourre theoryconjugate operatorspectral properties of Hamiltoniansregularity of Hamiltonians

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40)

Related Items (7)

A Proof of asymptotic completeness for n-body schrodinödinger operators ⋮ The Mourre theory for analytically fibered operators ⋮ New methods in spectral theory of N-body Schrödinger operators ⋮ Some improvements in the method of the weakly conjugate operator ⋮ Scattering theory for the Schrödinger equation with repulsive potential ⋮ Unnamed Item ⋮ The conjugate operator method for strongly singular operators

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