Resonance asymptotics in the generalized Winter model

Abstract

We consider a modification of the Winter model describing a quantum particle in presence of a spherical barrier given by a fixed generalized point interaction. It is shown that the three classes of such interactions correspond to three different types of asymptotic behaviour of resonances of the model at high energies.

LaTeX, 10 pages with one figure

References in corpus (1)

• Irregular Dynamics in a Solvable One-Dimensional Quantum Graph

Cited by in corpus (3)

• Generalized interactions supported on hypersurfaces
• On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs
• Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics