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

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DOI:

https://doi.org/10.4067/S0719-06462010000100007

Abstract

The aim of this paper is to establish uniform estimates of the bottom of the spectrum of the Neumann realization of (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.

Keywords

Spectral theory , semiclassical analysis , Neumann Laplacian , magnetic field , liquid crystals
  • Nicolas Raymond Laboratoire de Mathématiques, Université Paris-Sud 11, Bâtiment 425, F-91405, France.
  • Pages: 67–81
  • Date Published: 2010-03-01
  • Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

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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.

Issue

Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

Section

Articles