Virtual bound states of the Pauli operator with an Aharonov-Bohm potential
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915126667378688 |
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| author | Fialova, Marie Krejcirik, David |
| author_facet | Fialova, Marie Krejcirik, David |
| contents | A maximal realisation of the two-dimensional Pauli operator, subject to Aharonov--Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virtual bound states of the Pauli operator with an Aharonov-Bohm potential Fialova, Marie Krejcirik, David Mathematical Physics Analysis of PDEs Spectral Theory Quantum Physics A maximal realisation of the two-dimensional Pauli operator, subject to Aharonov--Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived. |
| title | Virtual bound states of the Pauli operator with an Aharonov-Bohm potential |
| topic | Mathematical Physics Analysis of PDEs Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2501.17029 |