A Fermi golden rule for quantum graphs

作者:Lee Minjae*; Zworski Maciej
来源:Journal of Mathematical Physics, 2016, 57(9): 092101.
DOI:10.1063/1.4961317

摘要

We present a Fermi golden rule giving rates of decay of states obtained by perturbing embedded eigenvalues of a quantum graph. To illustrate the procedure in a notationally simpler setting, we first describe a Fermi golden rule for boundary value problems on surfaces with constant curvature cusps. We also provide a resonance existence result which is uniform on compact sets of energies and metric graphs. The results are illustrated by numerical experiments. Published by AIP Publishing.

  • 出版日期2016-9