About: Spectral asymptotics of a strong delta ' interaction on a planar loop

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://iopscience.iop.org/1751-8121/46/34/345201
Description	We consider a generalized Schrodinger operator in L-2(R-2) with an attractive strongly singular interaction of delta ' type characterized by the coupling parameter beta > 0 and supported by a C-4 smooth closed curve Gamma of length L without self-intersections. It is shown that in the strong-coupling limit, beta -> 0(+), the number of eigenvalues behaves as 2L/pi beta + O(vertical bar ln beta vertical bar), and furthermore, that the asymptotic behavior of the jth eigenvalue in the same limit is -4/beta(2) + mu(j) + O(beta vertical bar ln beta vertical bar), where mu(j) is the jth eigenvalue of the Schrodinger operator on L-2(0, L) with periodic boundary conditions and the potential -1/4 gamma(2), where gamma is the signed curvature of Gamma. We consider a generalized Schrodinger operator in L-2(R-2) with an attractive strongly singular interaction of delta ' type characterized by the coupling parameter beta > 0 and supported by a C-4 smooth closed curve Gamma of length L without self-intersections. It is shown that in the strong-coupling limit, beta -> 0(+), the number of eigenvalues behaves as 2L/pi beta + O(vertical bar ln beta vertical bar), and furthermore, that the asymptotic behavior of the jth eigenvalue in the same limit is -4/beta(2) + mu(j) + O(beta vertical bar ln beta vertical bar), where mu(j) is the jth eigenvalue of the Schrodinger operator on L-2(0, L) with periodic boundary conditions and the potential -1/4 gamma(2), where gamma is the signed curvature of Gamma. (en)
Title	Spectral asymptotics of a strong delta ' interaction on a planar loop Spectral asymptotics of a strong delta ' interaction on a planar loop (en)
skos:prefLabel	Spectral asymptotics of a strong delta ' interaction on a planar loop Spectral asymptotics of a strong delta ' interaction on a planar loop (en)
skos:notation	RIV/68407700:21340/13:00209727!RIV14-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	I P S
http://linked.open...avai/riv/aktivity	I, P(GAP203/11/0701), S
http://linked.open...iv/cisloPeriodika	34
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Exner, Pavel Jex, Michal
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	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	106976
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/13:00209727
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Schrödinger operator; Asymptotic behavior; Disordered systems (en)
http://linked.open.../riv/klicoveSlovo	Asymptotic behavior Disordered systems Schrödinger operator
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[94FE82B68DE7]
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	Guided Quantum Dynamics
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	46
http://linked.open...iv/tvurceVysledku	Exner, Pavel Jex, Michal
http://linked.open...ain/vavai/riv/wos	000322910800005
issn	1751-8113
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1751-8113/46/34/345201
http://localhost/t...ganizacniJednotka	21340

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