A class of time periodic Hamiltonians with no bound states

DOI10.1017/S0308210500021892zbMath0647.35075MaRDI QIDQ3791590

Hitoshi Kaneta

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Paley-Wiener closedness theoremSchrödinger equation decaytime periodic Hamiltonians

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• A scattering theory for time-dependent long-range potentials
• Integration of the equation of evolution in a Banach space
• Scattering theory for Hamiltonians periodic in time
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