A remark on the micro-local resolvent estimates for two body Schrödinger operators

DOI10.2977/prims/1195178787zbMath0611.35090OpenAlexW2003277753MaRDI QIDQ1087752

Hitoshi Kitada, Hiroshi Isozaki

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178787

zbMATH Keywords

Schrödinger operatorS-matrixsymbolsmicro-local resolventmicrolocal estimatespseudo- differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Schrödinger operator, Schrödinger equation (35J10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (17)

AN ABSTRACT RADIATION CONDITION AND APPLICATIONS TO N-BODY SYSTEMS ⋮ Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds ⋮ High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ The spectral shift function and the Friedel sum rule ⋮ Microlocal properties of scattering matrices ⋮ Integral kernels of the scattering matrices for time-periodic Schrödinger equations ⋮ Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ A semi-classical picture of quantum scattering ⋮ Time-dependent approach to radiation conditions ⋮ Mapping properties of wave and scattering operators for two-body Schrödinger operators ⋮ Limit measures for the Helmholtz equation in the non-trapping case ⋮ Gauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect ⋮ Unnamed Item ⋮ Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians ⋮ Long-range scattering matrix for Schrödinger-type operators ⋮ Scattering by magnetic fields at large separation

Cites Work

• Micro-local resolvent estimates for 2-body Schrödinger operators
• Unnamed Item

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