Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers
Hynek Kovarik, Semjon Vugalter, Timo Weidl
TL;DR
This paper establishes a logarithmic Lieb-Thirring inequality for 2D Schrödinger operators and applies it to derive spectral estimates for trapped modes in quantum layers.
Contribution
It introduces a new logarithmic Lieb-Thirring inequality for 2D Schrödinger operators and applies it to quantum layer spectral analysis.
Findings
Proved a logarithmic Lieb-Thirring inequality for 2D Schrödinger operators.
Derived spectral estimates for trapped modes in quantum layers.
Enhanced understanding of spectral properties in quantum layer models.
Abstract
A logarithmic type Lieb-Thirring inequality for two-dimensional Schroedinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum layers.
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