A Fermi golden rule for quantum graphs
Mathematical Physics
2016-09-13 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
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 also present 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.
Keywords
Cite
@article{arxiv.1602.04866,
title = {A Fermi golden rule for quantum graphs},
author = {Minjae Lee and Maciej Zworski},
journal= {arXiv preprint arXiv:1602.04866},
year = {2016}
}
Comments
21 pages, 4 figures