置于强磁场中的磁条中的狄拉克算子

arXiv - MATH - Spectral Theory Pub Date : 2024-09-10 DOI:arxiv-2409.06284

Loïc Le Treust, Julien Royer, Nicolas Raymond

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引用次数: 0

摘要

我们考虑了弯曲条带上的磁性狄拉克算子，其边界符合无限质量边界条件。当磁场很大时，我们为读者提供了基本谱和离散谱的精确估计。特别是，我们给出了确保离散谱非空的充分条件。

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Magnetic Dirac operator in strips submitted to strong magnetic fields

We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.

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arXiv - MATH - Spectral Theory

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