Threshold between short and long-range potentials for non-local Schrödinger operators

DOI10.1007/S11040-020-09356-0OpenAlexW3080783319MaRDI QIDQ2007195

Kazuyuki Wada, Atsuhide Ishida

Publication date: 12 October 2020

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12711

zbMATH Keywords

scattering theorywave operatorsBernstein function

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05)

Related Items (5)

Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications ⋮ Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials ⋮ Hopf's lemma for viscosity solutions to a class of non-local equations with applications ⋮ The scattering of fractional Schrödinger operators with short range potentials ⋮ Absence of embedded eigenvalues for non-local Schrödinger operators

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