Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2108.03964 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909134168784896 |
|---|---|
| author | Assaad, Wafaa Helffer, Bernard Kachmar, Ayman |
| author_facet | Assaad, Wafaa Helffer, Bernard Kachmar, Ayman |
| contents | We establish accurate eigenvalue asymptotics and, as a by-product, sharp estimates of the splitting between two consecutive eigenvalues, for the Dirichlet magnetic Laplacian with a non-uniform magnetic field having a jump discontinuity along a smooth curve. The asymptotics hold in the semiclassical limit which also corresponds to a large magnetic field limit, and is valid under a geometric assumption on the curvature of the discontinuity curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03964 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Semi-classical eigenvalue estimates under magnetic steps (Former title: Hearing the shape of a magnetic edge in the semiclassical limit) Assaad, Wafaa Helffer, Bernard Kachmar, Ayman Mathematical Physics Spectral Theory We establish accurate eigenvalue asymptotics and, as a by-product, sharp estimates of the splitting between two consecutive eigenvalues, for the Dirichlet magnetic Laplacian with a non-uniform magnetic field having a jump discontinuity along a smooth curve. The asymptotics hold in the semiclassical limit which also corresponds to a large magnetic field limit, and is valid under a geometric assumption on the curvature of the discontinuity curve. |
| title | Semi-classical eigenvalue estimates under magnetic steps (Former title: Hearing the shape of a magnetic edge in the semiclassical limit) |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2108.03964 |