About: Geometric coupling thresholds in a two-dimensional strip.     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • We consider the Laplacian in a strip Rx(0,d) with the boundary condition which is Dirichlet except at the segment of a length 2a of one of the boundaries where it is switched to Neumann. This operator is known to have a non-empty and simple discrete spectrum for any a>0. There is a sequence 0<a(1)<a(2)<... of critical values at which new eigenvalues emerge from the continuum when the Neumann window expands. We find the asymptotic behavior of these eigenvalues around the thresholds showing that the gap is in the leading order proportional to (a-a(n))(2) with an explicit coefficient expressed in terms of the corresponding threshold-energy resonance eigenfunction.
  • We consider the Laplacian in a strip Rx(0,d) with the boundary condition which is Dirichlet except at the segment of a length 2a of one of the boundaries where it is switched to Neumann. This operator is known to have a non-empty and simple discrete spectrum for any a>0. There is a sequence 0<a(1)<a(2)<... of critical values at which new eigenvalues emerge from the continuum when the Neumann window expands. We find the asymptotic behavior of these eigenvalues around the thresholds showing that the gap is in the leading order proportional to (a-a(n))(2) with an explicit coefficient expressed in terms of the corresponding threshold-energy resonance eigenfunction. (en)
Title
  • Geometric coupling thresholds in a two-dimensional strip.
  • Geometric coupling thresholds in a two-dimensional strip. (en)
skos:prefLabel
  • Geometric coupling thresholds in a two-dimensional strip.
  • Geometric coupling thresholds in a two-dimensional strip. (en)
skos:notation
  • RIV/61389005:_____/02:49033241!RIV/2004/AV0/A49004/N
http://linked.open.../vavai/riv/strany
  • 6265;6278
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1048101), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 647077
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/02:49033241
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • wave-guides; bound-states; window (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [A8399703D91F]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 43
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
  • Borisov, D.
  • Gadyl'shin, R.
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-2488
number of pages
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software