Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications
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Nicolas Raymond
nicolas.raymond@math.u-psud.fr
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https://doi.org/10.4067/S0719-06462010000100007Abstract
The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of (ð’¾âˆ‡ + 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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Published
2010-03-01
How to Cite
[1]
N. Raymond, “Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications”, CUBO, vol. 12, no. 1, pp. 67–81, Mar. 2010.
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