A quantum hybrid with a thin antenna at the vertex of a wedge

Abstract

We study the spectrum, resonances and scattering matrix of a quantum hamiltonian on a "hybrid surface" consisting of a half-line attached by its endpoint to the vertex of a concave planar wedge. At the boundary of the wedge, outside the vertex, Dirichlet boundary are imposed. The system is tunable by varying the measure of the angle at the vertex.

arXiv comment8 pages, 3 figures

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Cited by in corpus (4)

• Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary
• Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
• An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
• The search for NLS ground states on a hybrid domain: Motivations, methods, and results