Resonances from perturbations of quantum graphs with rationally related edges

Details Resonances from perturbations of quantum graphs with rationally related edges Resonances from perturbations of quantum graphs with rationally related edges

2009-12-19

arxiv.org/abs/0912.3936v2

Physics

Mathematical Physics

LaTeX source file with 10 pdf figures, 24 pages; a replaced version with minor improvements, to appear in J. Phys. A: Math. Th

Scientific paper

We discuss quantum graphs consisting of a compact part and semiinfinite
leads. Such a system may have embedded eigenvalues if some edge lengths in the
compact part are rationally related. If such a relation is perturbed these
eigenvalues may turn into resonances; we analyze this effect both generally and
in simple examples.

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