On the spectral gap of higher-dimensional Schrödinger operators on large domains-Reference-Cited by-同舟云学术

On the spectral gap of higher-dimensional Schrödinger operators on large domains

Published:2023-05-03 Issue:1-2 Volume:133 Page:77-89
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Kerner Joachim¹,Täufer Matthias¹

Affiliation:

1. Lehrgebiet Analysis, Fakultät Mathematik und Informatik, FernUniversität in Hagen, D-58084 Hagen, Germany

Abstract

We study the asymptotic behaviour of the spectral gap of Schrödinger operators in two and higher dimensions and in a limit where the volume of the domain tends to infinity. Depending on properties of the underlying potential, we will find different asymptotic behaviours of the gap. In some cases the gap behaves as the gap of the free Dirichlet Laplacian and in some cases it does not.

Publisher

IOS Press

Subject

General Mathematics

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