Schrödinger operator with magnetic field in domain with corners

Virginie Bonnaillie Noël
2005 Journées Équations aux dérivées partielles  
Schrödinger operator with magnetic field in domain with corners J. É. D. P. (2005), Exposé n o II, 12 p. cedram Article mis en ligne dans le cadre du Centre de diffusion des revues académiques de mathématiques Abstract 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
more » ... he low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
doi:10.5802/jedp.15 fatcat:wdjmdtnli5hvvepm5sfeazuztu