Weak coupling asymptotics for the Pauli operator in two dimensions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913968799350784 |
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| author | Baur, Matthias |
| author_facet | Baur, Matthias |
| contents | We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak coupling asymptotics for the Pauli operator in two dimensions Baur, Matthias Spectral Theory Mathematical Physics 81Q15, 81Q10 We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely. |
| title | Weak coupling asymptotics for the Pauli operator in two dimensions |
| topic | Spectral Theory Mathematical Physics 81Q15, 81Q10 |
| url | https://arxiv.org/abs/2409.17787 |