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Boundary triples for Schrodinger operators with singular interactions on hypersurfaces

SYSNO ASEP	0466591
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Boundary triples for Schrodinger operators with singular interactions on hypersurfaces
Author(s)	Behrndt, J. (AT) Langer, M. (DE) Lotoreichik, Vladimir (UJF-V)_{ORCID, SAI}
Number of authors	3
Source Title	Nanosystems: Physics, Chemistry, Mathematics - ISSN 2220-8054 Roč. 7, č. 2 (2016), s. 290-302
Number of pages	13 s.
Publication form	Print - P
Language	eng - English
Country	RU - Russian Federation
Keywords	boundary triple ; Weyl function ; Schrodinger operator ; singular potential ; delta-interaction ; hypersurface
Subject RIV	BE - Theoretical Physics
R&D Projects	GA14-06818S GA ČR - Czech Science Foundation (CSF)
Institutional support	UJF-V - RVO:61389005
UT WOS	000387463100002
DOI	10.17586/2220-8054-2016-7-2-290-302
Annotation	The self-adjoint Schrodinger operator A(delta, alpha) with a delta-interaction of constant strength alpha supported on a compact smooth hypersurface C is viewed as a self-adjoint extension of a natural underlying symmetric operator S in L-2 (R-n). The aim of this note is to construct a boundary triple for S* and a self-adjoint parameter Theta(delta, alpha) in the boundary space L-2 (C) such that A(delta, alpha) corresponds to the boundary condition induced by Theta(delta, alpha). As a consequence, the well-developed theory of boundary triples and their Weyl functions can be applied. This leads, in particular, to a Krein-type resolvent formula and a description of the spectrum of A(delta, alpha) in terms of the Weyl function and Theta(delta, alpha).
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2017

Number of the records: 1