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 <img src="http:/fbpe/img/cubo/v12n1/img9.jpg" width="113" height="14"> on a bounded open set <img src="http:/fbpe/img/cubo/v12n1/img11.jpg&q...

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Autor principal: Raymond,Nicolas
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100007
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spelling oai:scielo:S0719-064620100001000072018-10-08Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and ApplicationsRaymond,Nicolas Spectral theory semiclassical analysis Neumann Laplacian magnetic field liquid crystals The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of <img src="http:/fbpe/img/cubo/v12n1/img9.jpg" width="113" height="14"> on a bounded open set <img src="http:/fbpe/img/cubo/v12n1/img11.jpg" width="14" height="15">with smooth boundary when<img src="http:/fbpe/img/cubo/v12n1/img10.jpg" width="210" height="18">. This problem was motivated by a question occurring in the theory of liquid crystals and appears also in superconductivity questions in large domains.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100007en10.4067/S0719-06462010000100007
institution Scielo Chile
collection Scielo Chile
language English
topic Spectral theory
semiclassical analysis
Neumann Laplacian
magnetic field
liquid crystals
spellingShingle Spectral theory
semiclassical analysis
Neumann Laplacian
magnetic field
liquid crystals
Raymond,Nicolas
Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
description The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of <img src="http:/fbpe/img/cubo/v12n1/img9.jpg" width="113" height="14"> on a bounded open set <img src="http:/fbpe/img/cubo/v12n1/img11.jpg" width="14" height="15">with smooth boundary when<img src="http:/fbpe/img/cubo/v12n1/img10.jpg" width="210" height="18">. This problem was motivated by a question occurring in the theory of liquid crystals and appears also in superconductivity questions in large domains.
author Raymond,Nicolas
author_facet Raymond,Nicolas
author_sort Raymond,Nicolas
title Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
title_short Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
title_full Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
title_fullStr Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
title_full_unstemmed Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications
title_sort uniform spectral estimates for families of schrödinger operators with magnetic field of constant intensity and applications
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100007
work_keys_str_mv AT raymondnicolas uniformspectralestimatesforfamiliesofschrodingeroperatorswithmagneticfieldofconstantintensityandapplications
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