Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications

The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of on a bounded open set with smooth boundary when . This problem was motivated by a question occurring in the theory of liquid crystals and appears also in superconductivity questions in...

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Bibliographic Details
Published in:Cubo (Temuco, Chile) Chile), 2010, Vol.12 (1), p.67-81
Main Author: Raymond, Nicolas
Format: Article
Language:English
Subjects:
liquid crystals
magnetic field
MATHEMATICS
MATHEMATICS, APPLIED
Neumann Laplacian
semiclassical analysis
Spectral theory
Online Access:Get full text
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Summary:The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of on a bounded open set with smooth boundary when . This problem was motivated by a question occurring in the theory of liquid crystals and appears also in superconductivity questions in large domains.
ISSN:0719-0646
0716-7776
0719-0646
DOI:10.4067/S0719-06462010000100007