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Breaking a magnetic zero locus: model operators and numerical approach
Author(s) -
BonnaillieNoël V.,
Raymond N.
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201300086
Subject(s) - zero (linguistics) , locus (genetics) , magnetic field , operator (biology) , smoothness , physics , spectrum (functional analysis) , essential spectrum , mathematics , mathematical analysis , quantum mechanics , chemistry , philosophy , biochemistry , linguistics , repressor , transcription factor , gene
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 zero 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.