Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group
In this paper we introduce a notion of magnetic field in the Heisenberg group and we study its influence on spectral properties of the corresponding magnetic (sub-elliptic) Laplacian. We show that uniform magnetic fields uplift the bottom of the spectrum. For magnetic fields vanishing at infinity, i...
Main Authors: | , , , |
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Format: | Article in Journal/Newspaper |
Language: | unknown |
Published: |
arXiv
2021
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Subjects: | |
Online Access: | https://dx.doi.org/10.48550/arxiv.2110.13775 https://arxiv.org/abs/2110.13775 |