The spectrum of non-local discrete Schrödinger operators with a \(\delta\)-potential

DOI10.1186/s40736-014-0007-8zbMath1327.81198arXiv1309.4706OpenAlexW2050005937WikidataQ59396803 ScholiaQ59396803MaRDI QIDQ890594

Fumio Hiroshima, József Lörinczi

Publication date: 10 November 2015

Published in: Pacific Journal of Mathematics for Industry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4706

zbMATH Keywords

discrete Schrödinger operatorBernstein functionnon-local Schrödinger operatorrank-one perturbationmodes and resonances

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12)

Related Items (4)

Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Semiclassical limits of quantum partition functions on infinite graphs ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Threshold analysis of the one-rank perturbation non-local discrete Laplacian

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