Mapping properties of wave and scattering operators for two-body Schrödinger operators

DOI10.1007/BF00420489zbMath0761.35074MaRDI QIDQ1196111

Arne Jensen, Shu Nakamura

Publication date: 12 November 1992

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

zbMATH Keywords

weighted \(L^ 2\)-estimates

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

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Cites Work

• Commutator methods and a smoothing property of the Schrödinger evolution group
• A remark on the micro-local resolvent estimates for two body Schrödinger operators
• Differentiability of generalized Fourier transforms associated with Schrödinger operators
• Decay rates of scattering states for Schrödinger operators
• Time-delay and Lavine's formula
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Propagation of states in dilation analytic potentials and asymptotic completeness
• Time-dependent approach to radiation conditions
• Propagation Estimates for Schrodinger-Type Operators
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