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A Schrödinger operator with a δ′-interaction on a Cantor set and Krein–Feller operators

✍ Scribed by Sergio Albeverio; Leonid Nizhnik

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
162 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

A construction of a one‐dimensional Schrödinger operator that has an inner structure defined on a set of Lebesgue measure zero and an interaction given on such a set. General Krein–Feller operators are constructed and the spectrum of a Schrödinger operator with a δ′‐interaction given on a Cantor set is studied. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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