Pauli Hamiltonians with an Aharonov-Bohm Flux
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909445051645952 |
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| author | Borrelli, William Correggi, Michele Fermi, Davide |
| author_facet | Borrelli, William Correggi, Michele Fermi, Davide |
| contents | We study a two-dimensional Pauli operator describing a charged quantum particle with spin $1/2$ moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We classify all the admissible self-adjont realizations and give a complete picture of their spectral and scattering properties. Symmetries of the resulting Hamiltonians are also discussed, as well as their connection with the Dirac operator perturbed by an Aharonov-Bohm singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11971 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pauli Hamiltonians with an Aharonov-Bohm Flux Borrelli, William Correggi, Michele Fermi, Davide Mathematical Physics Analysis of PDEs Spectral Theory 35J10, 47A07, 47A40, 47B25, 81Q10, 81Q70, 81U99 We study a two-dimensional Pauli operator describing a charged quantum particle with spin $1/2$ moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We classify all the admissible self-adjont realizations and give a complete picture of their spectral and scattering properties. Symmetries of the resulting Hamiltonians are also discussed, as well as their connection with the Dirac operator perturbed by an Aharonov-Bohm singularity. |
| title | Pauli Hamiltonians with an Aharonov-Bohm Flux |
| topic | Mathematical Physics Analysis of PDEs Spectral Theory 35J10, 47A07, 47A40, 47B25, 81Q10, 81Q70, 81U99 |
| url | https://arxiv.org/abs/2312.11971 |