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Statements

Subject Item
n2:RIV%2F61389005%3A_____%2F05%3A00032289%21RIV06-AV0-61389005
rdf:type
n7:Vysledek skos:Concept
dcterms:description
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. Uvažujeme Hamiltonián s N bodovými interakcemi ve vrcholech rovnostranného mnohoúhelníku a ukazujeme, že základní stav je maximální pro pravidelný mnohoúhelník.
dcterms:title
An isoperimetric problem for point interactions Isoperimetrický problém pro bodové interakce An isoperimetric problem for point interactions
skos:prefLabel
An isoperimetric problem for point interactions Isoperimetrický problém pro bodové interakce An isoperimetric problem for point interactions
skos:notation
RIV/61389005:_____/05:00032289!RIV06-AV0-61389005
n3:strany
4795;4802
n3:aktivita
n11:Z n11:P
n3:aktivity
P(KSK1010104), Z(AV0Z1048901)
n3:cisloPeriodika
22
n3:dodaniDat
n18:2006
n3:domaciTvurceVysledku
n9:3138097
n3:druhVysledku
n15:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
511961
n3:idVysledku
RIV/61389005:_____/05:00032289
n3:jazykVysledku
n5:eng
n3:klicovaSlova
eigenvalues; Laplacians
n3:klicoveSlovo
n6:Laplacians n6:eigenvalues
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[3B77C9A9830D]
n3:nazevZdroje
Journal of Physics. A - Mathematical and General Physics
n3:obor
n16:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:KSK1010104
n3:rokUplatneniVysledku
n18:2005
n3:svazekPeriodika
38
n3:tvurceVysledku
Exner, Pavel
n3:zamer
n17:AV0Z1048901
s:issn
0305-4470
s:numberOfPages
8