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arXiv · 0806.1383

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

Nicolas Raymond
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Abstract

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.

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Nicolas Raymond. 2008-06-09. Uniform spectral estimates for families of Schrodinger operators with magnetic field of constant intensity and applications. https://arxiv.org/abs/0806.1383

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