Wave operators for the Schrödinger equation

DOI10.1007/BF01028596zbMath0467.35076MaRDI QIDQ1155792

Dimitri Yafaev

Publication date: 1981

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorSchrödinger equationscattering theorywave operatorslocal wave operatorstime- dependent, slowly decreasing potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (11)

LONG RANGE SCATTERING AND MODIFIED WAVE OPERATORS FOR SOME HARTREE TYPE EQUATIONS I ⋮ Unnamed Item ⋮ Classical global solutions for a class of Hamilton-Jacobi equations ⋮ Long-range scattering in the position representation ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ A note on the Schrödinger operator with a long-range potential ⋮ Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions ⋮ An Evolutions Equation as the WKB Correction in Long-Time Asymptotics of Schrödinger Dynamics ⋮ On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Scattering theory for time-dependent Hamiltonians asymptotically constant in time

Cites Work

• Unnamed Item
• The existence of wave operators in scattering theory
• Scattering theory for Schrödinger equation with potential periodic in time
• Integration of the equation of evolution in a Banach space

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