Breaking a magnetic zero locus: Asymptotic analysis
نویسندگان
چکیده
منابع مشابه
Breaking a magnetic zero locus: asymptotic analysis
This paper deals with the spectral analysis of the Laplacian in presence of a magnetic field vanishing along a broken line. Denoting by θ the breaking angle, we prove complete asymptotic expansions of all the lowest eigenpairs when θ goes to 0. The investigation deeply uses a coherent states decomposition and a microlocal analysis of the eigenfunctions.
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This paper is devoted to the spectral analysis of a Schrödinger operator in presence of a vanishing magnetic field. The influence of the smoothness of the magnetic zeros locus is studied. In particular, it is proved that breaking the magnetic zero locus induces discrete spectrum below the essential spectrum. Numerical simulations illustrate the theoretical results.
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2014
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202514500377