Point-like perturbed fractional Laplacians through shrinking potentials of finite range

DOI10.1007/s11785-019-00927-wOpenAlexW2962770375MaRDI QIDQ2279023

Alessandro Michelangeli, Raffaele Scandone

Publication date: 12 December 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10191

zbMATH Keywords

fractional Laplacianzero-energy resonanceresolvent limitsSchrödinger operators with shrinking potentialssingular perturbations of differential operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operator approximation theory (47A58) Fractional partial differential equations (35R11) Special quantum systems, such as solvable systems (81Q80)

Related Items (3)

On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes ⋮ A characterization of singular Schrödinger operators on the half-line

Cites Work

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