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.
@article{JEDP_2005____A2_0, 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}, eid = {2}, pages = {1--12}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2005}, doi = {10.5802/jedp.15}, mrnumber = {2352771}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.15/} }
TY - JOUR AU - Bonnaillie Noël, Virginie TI - Schrödinger operator with magnetic field in domain with corners JO - Journées équations aux dérivées partielles PY - 2005 SP - 1 EP - 12 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.15/ DO - 10.5802/jedp.15 LA - en ID - JEDP_2005____A2_0 ER -
%0 Journal Article %A Bonnaillie Noël, Virginie %T Schrödinger operator with magnetic field in domain with corners %J Journées équations aux dérivées partielles %D 2005 %P 1-12 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.15/ %R 10.5802/jedp.15 %G en %F JEDP_2005____A2_0
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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