Infinite Quantum Graphs

Number of the records: 1

1.

SYSNO ASEP	0488764
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Infinite Quantum Graphs
Author(s)	Kostenko, A. S. (AT) Malamud, M. M. (UA) Neidhardt, H. (DE) Exner, Pavel (UJF-V)_{RID, ORCID, SAI}
Number of authors	4
Source Title	Doklady Mathematics - ISSN 1064-5624 Roč. 95, č. 1 (2017), s. 31-36
Number of pages	6 s.
Publication form	Print - P
Language	eng - English
Country	US - United States
Keywords	boundary value problems ; Schrodinger operators
Subject RIV	BE - Theoretical Physics
OECD category	Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
R&D Projects	GA14-06818S GA ČR - Czech Science Foundation (CSF)
Institutional support	UJF-V - RVO:61389005
UT WOS	000399585800009
EID SCOPUS	85018473876
DOI	10.1134/S1064562417010136
Annotation	Infinite quantum graphs with delta-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum graph and a certain discrete Laplacian given on a graph with infinitely many vertices and edges is established. In particular, it is shown that these operators are self-adjoint, lower semibounded, nonnegative, discrete, etc. only simultaneously.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2018

Number of the records: 1