Approximations of strongly singular couplings at quantum graph vertices

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Description: Turek, O (Czech Technical)
Friday 13 April 2007, 15:30-16:30
Graph Models of Mesoscopic Systems, Wave-Guides and Nano-Structures
 
Created: 2008-05-20 14:20
Collection: Analysis on Graphs and its Applications
Publisher: Isaac Newton Institute
Copyright: Turek, O
Language: eng (English)
Distribution: World     (downloadable)
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Author:  Turek, O
Explicit content: No
Aspect Ratio: 4:3
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Abstract: Approximation of a general strongly singular coupling in the center of a star graph by means of a delta-coupling and delta-interactions will be presented. We will (i) formulate necessary conditions under which the approximation is possible; (ii) show a way how to realize such approximation; (iii) explain its character: we will demonstrate that the coupling is approximated in the norm-resolvent sense.
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