On the approximation by regular potentials of Schr\"odinger operators with point interactions

DOI10.4134/JKMS.J190127zbMath1444.47017arXiv1908.02936MaRDI QIDQ5108947

Kenji Yajima, Artbazar Galtbayar

Publication date: 6 May 2020

Full work available at URL: https://arxiv.org/abs/1908.02936

zbMATH Keywords

scattering theorywave operatorspoint interactionsselfadjoint extensions

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operator approximation theory (47A58) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40)

Cites Work

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• Agmon-Kato-Kuroda theorems for a large class of perturbations
• Carleman estimates and absence of embedded eigenvalues
• Applications of a commutation formula
• \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction
• On the existence and the unitary property of the scattering operator
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators

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