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Description
  • Uvažujeme třídu Hamiltoniánů v L2(R2) s přitažlivou interakcí nesenou po částech spojitou C2 hladkou smyčkou Gamma pevné délky L. (cs)
  • We consider a class of Hamiltonians in L-2(R-2) with attractive interaction supported by piecewise C-2 smooth loops Gamma of a fixed length L, formally given by -Delta-alpha delta(x-Gamma) with alpha>0. It is shown that the ground state of this operator is locally maximized by a circular Gamma. We also conjecture that this property holds globally and show that the problem is related to an interesting family of geometric inequalities concerning mean values of chords of Gamma.
  • We consider a class of Hamiltonians in L-2(R-2) with attractive interaction supported by piecewise C-2 smooth loops Gamma of a fixed length L, formally given by -Delta-alpha delta(x-Gamma) with alpha>0. It is shown that the ground state of this operator is locally maximized by a circular Gamma. We also conjecture that this property holds globally and show that the problem is related to an interesting family of geometric inequalities concerning mean values of chords of Gamma. (en)
Title
  • An isoperimetric problem for leaky loops and related mean-chord inequalities
  • Isoperimetrický problém pro měkké smyčky a odpovídající nerovnosti pro střední tětivy (cs)
  • An isoperimetric problem for leaky loops and related mean-chord inequalities (en)
skos:prefLabel
  • An isoperimetric problem for leaky loops and related mean-chord inequalities
  • Isoperimetrický problém pro měkké smyčky a odpovídající nerovnosti pro střední tětivy (cs)
  • An isoperimetric problem for leaky loops and related mean-chord inequalities (en)
skos:notation
  • RIV/61389005:_____/05:00000991!RIV06-AV0-61389005
http://linked.open.../vavai/riv/strany
  • 062105
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA100480501), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • 6
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
  • 511960
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/05:00000991
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Schrödinger-operators; eigenvalues; laplacians (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [8411ABCBA1FE]
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...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 46
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-2488
number of pages
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