Schrödinger operator with magnetic field in domain with corners

Bonnaillie Noël, Virginie

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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