Quantum graph resonances by cut-off technique
Pavel Exner, Ji\v{r}\'i Lipovsk\'y, Jan Peka\v{r}
TL;DR
This paper presents a method to identify quantum graph resonances by analyzing the eigenvalues of a cut-off system, which simplifies the study of complex quantum graphs with leads.
Contribution
It introduces a novel approach using a cut-off technique to determine resonances in quantum graphs with semi-infinite leads.
Findings
Resonances can be effectively identified from eigenvalue behavior.
The method simplifies the analysis of quantum graphs with leads.
Potential applications in quantum physics and waveguide design.
Abstract
We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Quantum Information and Cryptography