%0 Journal Article %T Uniform spectral estimates for families of Schrodinger operators with magnetic field of constant intensity and applications %A Nicolas Raymond %J Mathematics %D 2008 %I arXiv %X The aim of this paper is to establish uniform estimates of the spectrum's bottom of the Neumann realization of $(i\nabla+q\A)^2$ on a bounded open set $\Om$ with smooth boundary when $|\nabla\times\A|=1$ and $q\to+\infty$. This problem was motivated by a question occuring in the theory of liquid crystals and appears also in superconductivity questions in large domains. %U http://arxiv.org/abs/0806.1383v1