[Author: Barseghyan, Diana] AND [Keyword: Magnetic Laplacian] : Search

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[Author: Asiri, Abdullah M] AND [Keyword: Mp2/6-31g(d)] (1)	14 Mar 2025	Run
[Author: Barseghyan, Diana] AND [Keyword: Magnetic Laplacian] (1)	14 Mar 2025	Run
[Author: Kosal, Margaret E] AND [Keyword: Microporous Solids] (1)	14 Mar 2025	Run
[Author: Lim, Sungwon] AND [Keyword: Thermal Decomposition] (1)	14 Mar 2025	Run
[Author: Okniński, Jan] AND [Keyword: Commutative Semigroup] (1)	14 Mar 2025	Run

articleNo Access
Semiclassical bounds in magnetic bottles
- Diana Barseghyan,
- Pavel Exner,
- Hynek Kovařík, and
- Timo Weidl
Reviews in Mathematical Physics01 Feb 2016
Preview Abstract
The aim of the paper is to derive spectral estimates into several classes of magnetic systems. They include three-dimensional regions with Dirichlet boundary as well as a particle in $ℝ^{3}$ confined by a local change of the magnetic field. We establish two-dimensional Berezin–Li–Yau and Lieb–Thirring-type bounds in the presence of magnetic fields and, using them, get three-dimensional estimates for the eigenvalue moments of the corresponding magnetic Laplacians.

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