Exponential localization in 2D pure magnetic wells
Yannick Guedes Bonthonneau (IRMAR), Nicolas Raymond (LAREMA), San V\~u, Ngoc
TL;DR
This paper proves a magnetic Agmon estimate for a 2D pure magnetic well using advanced microlocal analysis techniques, enhancing understanding of localization phenomena in quantum magnetic systems.
Contribution
It introduces a novel application of Fourier-Bros-Iagolnitzer transform and microlocal exponential estimates to magnetic wells, extending Agmon estimates to magnetic contexts.
Findings
Established magnetic Agmon estimate for 2D magnetic wells
Applied Fourier-Bros-Iagolnitzer transform in magnetic localization analysis
Demonstrated exponential decay properties in magnetic quantum states
Abstract
We establish a magnetic Agmon estimate in the case of a purely magnetic single non-degenerate well, by means of the Fourier-Bros-Iagolnitzer transform and microlocal exponential estimates {\`a} la Martinez-Sj{\"o}strand.
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