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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00304 |
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| _version_ | 1866916078119026688 |
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| author | Cárdenas, Esteban Pavez, Benjamín Stockmeyer, Edgardo |
| author_facet | Cárdenas, Esteban Pavez, Benjamín Stockmeyer, Edgardo |
| contents | We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition $H = H_0 + W$, where $H_0 $ is a rotationally symmetric magnetic Dirac operator and $W$ is a position-dependent matrix-valued potential satisfying certain smoothness condition in the angular variable. A consequence of our results are upper bounds for the growth in time of the expected size of the system and its total angular momentum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00304 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tunneling estimates for two-dimensional perturbed magnetic Dirac systems Cárdenas, Esteban Pavez, Benjamín Stockmeyer, Edgardo Mathematical Physics Functional Analysis 81Q10, 35Q41, 35B30 We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition $H = H_0 + W$, where $H_0 $ is a rotationally symmetric magnetic Dirac operator and $W$ is a position-dependent matrix-valued potential satisfying certain smoothness condition in the angular variable. A consequence of our results are upper bounds for the growth in time of the expected size of the system and its total angular momentum. |
| title | Tunneling estimates for two-dimensional perturbed magnetic Dirac systems |
| topic | Mathematical Physics Functional Analysis 81Q10, 35Q41, 35B30 |
| url | https://arxiv.org/abs/2401.00304 |