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  • We consider a Hamiltonian with N point interactions in R-d, d = 2, 3, all with the same coupling constant, placed at vertices of an equilateral polygon P-N. It is shown that the ground-state energy is locally maximized by a regular polygon. The question whether the maximum is global is reduced to an interesting geometric problem.
  • We consider a Hamiltonian with N point interactions in R-d, d = 2, 3, all with the same coupling constant, placed at vertices of an equilateral polygon P-N. It is shown that the ground-state energy is locally maximized by a regular polygon. The question whether the maximum is global is reduced to an interesting geometric problem. (en)
  • Uvažujeme Hamiltonián s N bodovými interakcemi ve vrcholech rovnostranného mnohoúhelníku a ukazujeme, že základní stav je maximální pro pravidelný mnohoúhelník. (cs)
Title
  • An isoperimetric problem for point interactions
  • An isoperimetric problem for point interactions (en)
  • Isoperimetrický problém pro bodové interakce (cs)
skos:prefLabel
  • An isoperimetric problem for point interactions
  • An isoperimetric problem for point interactions (en)
  • Isoperimetrický problém pro bodové interakce (cs)
skos:notation
  • RIV/61389005:_____/05:00032289!RIV06-AV0-61389005
http://linked.open.../vavai/riv/strany
  • 4795;4802
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(KSK1010104), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika
  • 22
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
  • 511961
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/05:00032289
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • eigenvalues; Laplacians (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [3B77C9A9830D]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics. A - Mathematical and General Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 38
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 0305-4470
number of pages
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