About: High-energy asymptotics of the spectrum of a periodic square lattice quantum graph

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We investigate a periodic quantum graph in the form of a square lattice with a general self-adjoint coupling at the vertices. We analyse the spectrum's high-energy behaviour. Depending on the coupling type, bands and gaps have different asymptotics. Bands may be flat even if the edges are coupled, and non-flat band widths may behave like O(n(j)), j = 1, 0,-1,-2,-3, as the band index n -> infinity. The gaps may be of asymptotically constant width or linearly growing with the latter case being generic. We investigate a periodic quantum graph in the form of a square lattice with a general self-adjoint coupling at the vertices. We analyse the spectrum's high-energy behaviour. Depending on the coupling type, bands and gaps have different asymptotics. Bands may be flat even if the edges are coupled, and non-flat band widths may behave like O(n(j)), j = 1, 0,-1,-2,-3, as the band index n -> infinity. The gaps may be of asymptotically constant width or linearly growing with the latter case being generic. (en)
Title	High-energy asymptotics of the spectrum of a periodic square lattice quantum graph High-energy asymptotics of the spectrum of a periodic square lattice quantum graph (en)
skos:prefLabel	High-energy asymptotics of the spectrum of a periodic square lattice quantum graph High-energy asymptotics of the spectrum of a periodic square lattice quantum graph (en)
skos:notation	RIV/61389005:_____/10:00350846!RIV11-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	47
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Exner, Pavel Turek, Ondřej
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	261550
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/10:00350846
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	WANNIER-STARK LADDERS; KIRCHHOFFS RULE; SUPERLATTICES (en)
http://linked.open.../riv/klicoveSlovo	KIRCHHOFFS RULE SUPERLATTICES WANNIER-STARK LADDERS
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[EF0631B30B6C]
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	2 (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	2010
http://linked.open...v/svazekPeriodika	43
http://linked.open...iv/tvurceVysledku	Exner, Pavel Turek, Ondřej
http://linked.open...ain/vavai/riv/wos	000284100400025
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	1751-8113
number of pages	25 (xsd:int)
is http://linked.open...avai/riv/vysledek of	High-energy asymptotics of the spectrum of a periodic square lattice quantum graph High-energy asymptotics of the spectrum of a periodic square lattice quantum graph High-energy asymptotics of the spectrum of a periodic square lattice quantum graph

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