Tunneling between corners for Robin Laplacians

Bernard Helffer (1, 2) , Konstantin Pankrashkin (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance between the corners increases to infinity.

Domaines: Théorie spectrale [math.SP]; Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Bernard Helffer, Konstantin Pankrashkin. Tunneling between corners for Robin Laplacians. Journal of the London Mathematical Society, 2015, 91 (1), pp.225-248. ⟨10.1112/jlms/jdu070⟩. ⟨hal-00980575v2⟩