Pseudo orbit expansion for the resonance condition on quantum graphs and the resonance asymptotics
Mathematical Physics
2023-07-19 v2 math.MP
Spectral Theory
Abstract
In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph.
Keywords
Cite
@article{arxiv.1507.06845,
title = {Pseudo orbit expansion for the resonance condition on quantum graphs and the resonance asymptotics},
author = {Jiri Lipovsky},
journal= {arXiv preprint arXiv:1507.06845},
year = {2023}
}
Comments
11 pages, 8 figures