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

Albeverio Sergio | Zendy; Nizhnik Leonid | Zendy

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

Author(s) -

Albeverio Sergio,

Nizhnik Leonid

Publication year - 2006

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310371

Subject(s) - mathematics , lebesgue measure , cantor set , operator (biology) , schrödinger's cat , measure (data warehouse) , spectrum (functional analysis) , set (abstract data type) , null set , pure mathematics , lebesgue integration , mathematical analysis , quantum mechanics , physics , biochemistry , chemistry , repressor , database , computer science , transcription factor , gene , programming language

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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