About: On the ground state of quantum graphs with attractive delta-coupling

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study relations between the ground-state energy of a quantum graph Hamiltonian with attractive delta coupling at the vertices and the graph geometry. We derive a necessary and sufficient condition under which the energy increases with the increase of graph edge lengths. We show that this is always the case if the graph has no branchings while both energy increase and decrease are possible for graphs with a more complicated topology. We study relations between the ground-state energy of a quantum graph Hamiltonian with attractive delta coupling at the vertices and the graph geometry. We derive a necessary and sufficient condition under which the energy increases with the increase of graph edge lengths. We show that this is always the case if the graph has no branchings while both energy increase and decrease are possible for graphs with a more complicated topology. (en)
Title	On the ground state of quantum graphs with attractive delta-coupling On the ground state of quantum graphs with attractive delta-coupling (en)
skos:prefLabel	On the ground state of quantum graphs with attractive delta-coupling On the ground state of quantum graphs with attractive delta-coupling (en)
skos:notation	RIV/61389005:_____/12:00384954!RIV13-AV0-61389005
http://linked.open...avai/predkladatel	Ústav jaderné fyziky AV ČR, v.v.i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP203/11/0701), P(LC06002)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2013
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	156404
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/12:00384954
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum graph; attractive delta coupling; ground state (en)
http://linked.open.../riv/klicoveSlovo	attractive delta coupling ground state quantum graph
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[2AEBDDB0D4A4]
http://linked.open...i/riv/nazevZdroje	Physics Letters. A
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	Guided Quantum Dynamics Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	376
http://linked.open...iv/tvurceVysledku	Exner, Pavel Jex, M.
http://linked.open...ain/vavai/riv/wos	000301036000010
issn	0375-9601
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.physleta.2011.12.035
is http://linked.open...avai/riv/vysledek of	On the ground state of quantum graphs with attractive delta-coupling

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