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/142710.4067/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.