Resonances from perturbations of quantum graphs with rationally related edges
Mathematical Physics
2019-12-10 v2 math.MP
Spectral Theory
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0912.3936,
title = {Resonances from perturbations of quantum graphs with rationally related edges},
author = {Pavel Exner and Jiri Lipovsky},
journal= {arXiv preprint arXiv:0912.3936},
year = {2019}
}
Comments
LaTeX source file with 10 pdf figures, 24 pages; a replaced version with minor improvements, to appear in J. Phys. A: Math. Theor