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arXiv · 1602.04866

A Fermi golden rule for quantum graphs

Minjae Lee·Maciej Zworski
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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.

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Minjae Lee, Maciej Zworski. 2016-02-16. A Fermi golden rule for quantum graphs. https://doi.org/10.1063/1.4961317

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