Semiclassical resolvent estimates for \(N\)-body Schrödinger operators

DOI10.1016/0022-1236(91)90011-SzbMath0739.35047MaRDI QIDQ1175017

Xue Ping Wang

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

non-trapping conditiongeneralizing Gérard's geometrical construction of an escape function

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) (n)-body problems (70F10)

Related Items (7)

From classical to semiclassical non-trapping behaviour ⋮ Minoration de la résolvante dans le cas captif ⋮ Propagation through trapped sets and semiclassical resolvent estimates ⋮ On the three-body long-range scattering problems ⋮ Resolvent Estimates and Matrix-Valued Schrödinger Operator with Eigenvalue Crossings; Application to Strichartz Estimates ⋮ On the Born-Oppenheimer approximation of wave operators in molecular scattering theory ⋮ High-frequency limit of the Helmholtz equation with variable refraction index

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• High energy resolvent estimates for generalized many-body Schrödinger operators
• Étude semi-classique d'observables quantiques
• The weyl calculus of pseudo-differential operators
• Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases

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