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Spectrum of Dirichlet Laplacian in a conical layer

SYSNO ASEP	0350849
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Spectrum of Dirichlet Laplacian in a conical layer
Author(s)	Exner, Pavel (UJF-V)_{RID, ORCID, SAI} Tater, Miloš (UJF-V)_{RID, ORCID, SAI}
Source Title	Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113 Roč. 43, č. 47 (2010), 474023/1-474023/11
Number of pages	11 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	QUANTUM WAVE-GUIDES ; BOUND-STATES ; EXISTENCE
Subject RIV	BE - Theoretical Physics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000284100400024
DOI	10.1088/1751-8113/43/47/474023
Annotation	We study the spectral properties of Dirichlet Laplacian on the conical layer of the opening angle pi - 2 theta and thickness equal to pi. We demonstrate that below the continuum threshold, which is equal to 1, there is an infinite sequence of isolated eigenvalues and analyse properties of these geometrically induced bound states. By numerical computation we find examples of the eigenfunctions.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2011

Number of the records: 1