Breaking a magnetic zero locus: model operators and numerical approach | Zendy

BonnaillieNoël V. | Zendy; Raymond N. | Zendy

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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) , magnetic field , locus (genetics) , physics , essential spectrum , operator (biology) , smoothness , spectrum (functional analysis) , mathematics , mathematical analysis , quantum mechanics , chemistry , transcription factor , gene , philosophy , linguistics , biochemistry , repressor

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.

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