Spectral and resonance properties of Smilansky Hamiltonian
arXiv:1610.02868 · doi:10.1016/j.physleta.2016.12.053
Abstract
We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others. We derive a weak-coupling asymptotics of the ground state and add new insights by finding the discrete spectrum numerically. Furthermore, we show that the model has a rich resonance structure.
16 pages