Estimates on trapped modes in deformed quantum layers
Hynek Kovarik, Semjon Vugalter
TL;DR
This paper derives estimates for trapped modes in deformed quantum layers using a logarithmic Lieb-Thirring inequality, advancing understanding of quantum confinement effects in complex geometries.
Contribution
It introduces new estimates on trapped modes in quantum layers with geometric deformation utilizing a logarithmic Lieb-Thirring inequality.
Findings
Established bounds on trapped modes in deformed quantum layers.
Applied logarithmic Lieb-Thirring inequality to two-dimensional Schrödinger operators.
Enhanced theoretical understanding of quantum confinement in non-standard geometries.
Abstract
We use a logarithmic Lieb-Thirring inequality for two-dimensional Schroedinger operators and establish estimates on trapped modes in geometrically deformed quantum layers.
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.