Schrödinger operator with magnetic field in domain with corners
Journées équations aux dérivées partielles (2005), article no. 2, 12 p.

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 Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.

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author = {Bonnaillie No\"el, Virginie},
title = {Schr\"odinger operator with magnetic field in domain with corners},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
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publisher = {Groupement de recherche 2434 du CNRS},
year = {2005},
doi = {10.5802/jedp.15},
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Bonnaillie Noël, Virginie. Schrödinger operator with magnetic field in domain with corners. Journées équations aux dérivées partielles (2005), article  no. 2, 12 p. doi : 10.5802/jedp.15. http://www.numdam.org/articles/10.5802/jedp.15/

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