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 |
Official URL: http://dx.doi.org/10.1016/j.jde.2014.04.005
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 |
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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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