One-dimensional Schrödinger operators with -interactions on Cantor-type sets

Eckhardt, Jonathan, Kostenko, Aleksey, Malamud, Mark and Teschl, Gerald 2014. One-dimensional Schrödinger operators with -interactions on Cantor-type sets. Journal of Differential Equations 257 (2) , pp. 415-449. 10.1016/j.jde.2014.04.005

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Abstract

We introduce a novel approach for defining a δ′-interaction on a subset of the real line of Lebesgue measure zero which is based on Sturm–Liouville differential expression with measure coefficients. This enables us to establish basic spectral properties (e.g., self-adjointness, lower semiboundedness and spectral asymptotics) of Hamiltonians with δ′-interactions concentrated on sets of complicated structures.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Publisher:	Elsevier
ISSN:	0022-0396
Last Modified:	25 Feb 2019 11:23
URI:	https://orca.cardiff.ac.uk/id/eprint/79413

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