About: Curvature-induced bound states for a delta interaction supported by a curve in R-3.     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study the Laplacian in L-2(R-3) perturbed on an infinite curve Gamma by a delta interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if Gamma is smooth and not a straight line but it is asymptotically straight in a suitable sense, and if the interaction does not vary along the curve, the perturbed operator has at least one isolated eigenvalue below the threshold of the essential spectrum.
  • We study the Laplacian in L-2(R-3) perturbed on an infinite curve Gamma by a delta interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if Gamma is smooth and not a straight line but it is asymptotically straight in a suitable sense, and if the interaction does not vary along the curve, the perturbed operator has at least one isolated eigenvalue below the threshold of the essential spectrum. (en)
Title
  • Curvature-induced bound states for a delta interaction supported by a curve in R-3.
  • Curvature-induced bound states for a delta interaction supported by a curve in R-3. (en)
skos:prefLabel
  • Curvature-induced bound states for a delta interaction supported by a curve in R-3.
  • Curvature-induced bound states for a delta interaction supported by a curve in R-3. (en)
skos:notation
  • RIV/61389005:_____/02:49027187!RIV/2003/AV0/A49003/N
http://linked.open.../vavai/riv/strany
  • 967;981
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1048101), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika
  • 5
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
  • 641999
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/02:49027187
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum wave-guides; operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [9BB23107C15E]
http://linked.open...i/riv/nazevZdroje
  • Annales Henri Poincare
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
  • 3
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
  • Kondej, Sylwia
http://linked.open...n/vavai/riv/zamer
issn
  • 1424-0637
number of pages
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