Schrödinger operator with magnetic field in domain with corners | Zendy

Virginie Bonnaillie Noël | Zendy

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Schrödinger operator with magnetic field in domain with corners

Author(s) -

Virginie Bonnaillie Noël

Publication year - 2008

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.15

Subject(s) - operator (biology) , schrödinger's cat , domain (mathematical analysis) , field (mathematics) , mathematics , magnetic field , mathematical analysis , mathematical physics , physics , pure mathematics , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene

We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrodinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrodinger operator in domains with corners. We complete this analysis with numerical experiments. Acknowledgements I wish to thank F. Alouges, M. Dauge, B. Helffer and G. Vial for numerous discussions about this subject and also for their collaboration in part of this work.

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