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

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

2008-06-09

arxiv.org/abs/0806.1383v1

Physics

Mathematical Physics

16 pages

Scientific paper

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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