Integral kernels of the scattering matrices for time-periodic Schrödinger equations

DOI10.1016/0022-1236(88)90055-9zbMath0652.35094OpenAlexW1977557716MaRDI QIDQ1107039

Shu Nakamura

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90055-9

zbMATH Keywords

decaysmoothnesstime-dependent Schrödinger equationtime periodickernel of the scattering matrix

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Scattering theory for PDEs (35P25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

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• Structure of the scattering operator for time-periodic Schrödinger equations
• A remark on the micro-local resolvent estimates for two body Schrödinger operators
• A scattering theory for time-dependent long-range potentials
• Scattering theory for Schrödinger equation with potential periodic in time
• Remarks on pseudo-differential operators
• Stationary scattering theory for time-dependent Hamiltonians
• Scattering theory for Hamiltonians periodic in time