Tunneling between corners for Robin Laplacians

Abstract

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.

27 pages, 5 figures

References in corpus (2)

• Exponential splitting of bound states in a waveguide with a pair of distant windows
• Asymptotic eigenvalue estimates for a Robin problem with a large parameter

Cited by in corpus (8)

• Mean curvature bounds and eigenvalues of Robin Laplacians
• An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter
• Eigenvalues of Robin Laplacians in infinite sectors
• Generalized interactions supported on hypersurfaces
• On the negative spectrum of the Robin Laplacian in corner domains
• On the discrete spectrum of Robin Laplacians in conical domains
• Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
• Scattering properties of two singularly interacting particles on the half-line