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Tripartite connection condition for a quantum graph vertex

SYSNO ASEP	0354728
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Tripartite connection condition for a quantum graph vertex
Author(s)	Cheon, T. (JP) Exner, Pavel (UJF-V)_{RID, ORCID, SAI} Turek, Ondřej (UJF-V)_{ORCID, SAI}
Source Title	Physics Letters. A. - : Elsevier - ISSN 0375-9601 Roč. 375, č. 2 (2010), s. 113-118
Number of pages	6 s.
Language	eng - English
Country	NL - Netherlands
Keywords	Schrodinger operator ; Singular vertex ; Boundary conditions
Subject RIV	BA - General Mathematics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000285127000010
DOI	10.1016/j.physleta.2010.11.011
Annotation	We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called ST-form can be further reduced up to a form more effective in certain applications: In particular, in identifying the number of independent parameters for given ranks of two connection matrices, or in calculating the scattering matrix when both matrices are singular. The new form of boundary conditions, called the PQ RS-form, also gives a natural scheme to design generalized low and high pass quantum filters
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2011

Number of the records: 1