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Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications

Author
Raymond, Nicolas

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1427
10.4067/S0719-06462010000100007
Abstract
The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of (𝒾∇ + qA)2 on a bounded open set Ω with smooth boundary when |∇ × A| = 1 and q → +∞. This problem was motivated by a question occurring in the theory of liquid crystals and appears also in superconductivity questions in large domains.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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