Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians

DOI10.1619/fesi.64.199zbMath1472.81075arXiv1711.06156OpenAlexW3197164614WikidataQ114050323 ScholiaQ114050323MaRDI QIDQ4959113

K. Itakura

Publication date: 10 September 2021

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06156

zbMATH Keywords

inverted harmonic oscillatorradiation condition boundsrepulsive Hamiltonians

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials ⋮ Spectral theory for 1-body Stark operators ⋮ Scattering theory for repulsive Schrödinger operators and applications to the limit circle problem ⋮ Stationary scattering theory for repulsive Hamiltonians

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