Resonances in twisted quantum waveguides
H. Kovarik, A. Sacchetti
TL;DR
This paper studies how twisting a quantum waveguide causes embedded eigenvalues to turn into resonances, providing a perturbative expansion for resonance widths and analyzing the effect of twist in specific models.
Contribution
It introduces a detailed analysis of resonance formation due to twisting in quantum waveguides, including a perturbative approach for weak twists.
Findings
Embedded eigenvalues become resonances after twisting
Resonance widths can be expanded perturbatively for weak twists
Twisting significantly influences resonance properties in specific models
Abstract
In this paper we consider embedded eigenvalues of a Schroedinger Hamiltonian in a waveguide induced by a symmetric perturbation. It is shown that these eigenvalues become unstable and turn into resonances after twisting of the waveguide. The perturbative expansion of the resonance width is calculated for weakly twisted waveguides and the influence of the twist on resonances in a concrete model is discussed in detail.
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.