Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential
type: Item
instance of: scholarly article
title: Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential
zbMATH Open document ID: 0996.82036
DOI: 10.1016/S0246-0203(01)01100-1
author: Franz Merkl
author: Mario V. Wüthrich
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2002-10-27T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77716
review text: The authors investigate the ground state energy of the random Schrödinger operator \(-\frac{1}{2}\Delta+\beta (\log t)^{-2/d}V\) on the box \((-t,t)^{d}\) with Dirichlet boundary conditions. Here \(V\) is the Poissonian potential obtained by translation a fixed non-negative compactly supported shape function to all the particles of \(d\)-dimensional Poissonian point process, the scaling function \((\log t)^{-2/d}\) is determined by the typical size of the largest hole of the Poissonian cloud in the box \((-t,t)^{d}.\)
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1751661
zbMATH Keywords: random Schrödinger operator
zbMATH Keywords: ground state energy
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1751661