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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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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 |
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Scielo Chile |
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Scielo Chile |
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English |
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Spectral theory semiclassical analysis Neumann Laplacian magnetic field liquid crystals |
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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 |
_version_ |
1714206762705354752 |