About: Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We discuss approximations of vertex couplings of quantum graphs using families of thin branched manifolds. We show that if a Neumann-type Laplacian on such manifolds is amended by suitable potentials, the resulting Schrodinger operators can approximate non-trivial vertex couplings. The latter include not only the delta-couplings but also those with wavefunctions discontinuous at the vertex. We work out the example of the symmetric delta'-couplings and make a conjecture that the same method can be applied to all couplings invariant with respect to the time reversal. We conclude with a result that certain vertex couplings cannot be approximated by a pure Laplacian. We discuss approximations of vertex couplings of quantum graphs using families of thin branched manifolds. We show that if a Neumann-type Laplacian on such manifolds is amended by suitable potentials, the resulting Schrodinger operators can approximate non-trivial vertex couplings. The latter include not only the delta-couplings but also those with wavefunctions discontinuous at the vertex. We work out the example of the symmetric delta'-couplings and make a conjecture that the same method can be applied to all couplings invariant with respect to the time reversal. We conclude with a result that certain vertex couplings cannot be approximated by a pure Laplacian. (en)
Title	Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds (en)
skos:prefLabel	Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds (en)
skos:notation	RIV/61389005:_____/09:00330854!RIV10-MSM-61389005
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	41
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Exner, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	303926
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/09:00330854
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	convergence; scattering; spectra (en)
http://linked.open.../riv/klicoveSlovo	convergence scattering spectra
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[DE99878B8AF3]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A-Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	42
http://linked.open...iv/tvurceVysledku	Exner, Pavel Post, O.
http://linked.open...ain/vavai/riv/wos	000270303300021
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	1751-8113
number of pages	22 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds Approximation of quantum graph vertex couplings by scaled Schrodinger operators on thin branched manifolds

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