The borderline of the short-range condition for the repulsive Hamiltonian

DOI10.1016/j.jmaa.2016.01.073zbMath1333.81422OpenAlexW2263300961MaRDI QIDQ5962948

Atsuhide Ishida

Publication date: 25 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.073

zbMATH Keywords

scattering theorywave operatorrepulsive Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (7)

Existence and nonexistence of wave operators for time-decaying harmonic oscillators ⋮ Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials ⋮ Critical scattering in a time-dependent harmonic oscillator ⋮ Threshold between short and long-range potentials for non-local Schrödinger operators ⋮ Absence of wave operators for one-dimensional quantum walks ⋮ Non-Existence of Standard Wave Operators for Fractional Laplacian and Slowly Decaying Potentials ⋮ Strichartz estimates for quadratic repulsive potentials

Cites Work

• Unnamed Item
• Non-existence of wave operators for Stark effect Hamiltonians
• Scattering theory for the Schrödinger equation with repulsive potential
• Inverse scattering for a Schrödinger operator with a repulsive potential
• On inverse scattering problem for the Schrödinger equation with repulsive potentials

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