Anomalous electron trapping by magnetic flux tubes and electric current vortices
| dc.creator | Bentosela, F. | |
| dc.creator | Exner, P. | |
| dc.creator | Zagrebnov, V. A. | |
| dc.date | 1998-10-23 | |
| dc.date | 1998-11-26 | |
| dc.date.accessioned | 2026-07-07T04:32:34Z | |
| dc.date.available | 2026-07-07T04:32:34Z | |
| dc.description | We consider an electron with an anomalous magnetic moment, g>2, confined to a plane and interacting with a nonhomogeneous magnetic field B, and investigate the corresponding Pauli Hamiltonian. We prove a lower bound on the number of bound states for the case when B is of a compact support and the related flux is $N+ε, ε\in(0,1]$. In particular, there are at least N+1 bound states if B does not change sign. We also consider the situation where the magnetic field is due to a localized rotationally symmetric electric current vortex in the plane. In this case the flux is zero; there is a pair of bound states for a weak coupling, and higher orbital-momentum "spin-down" states appearing as the current strength increases. | |
| dc.description | 6 pages, LaTeX, to appear in Proceedings of QMath7, Prague 1997, published in the Birkhauser series "Operator Theory: Advances and Applications; the final version with a correction in Thm 2 | |
| dc.identifier | https://arxiv.org/abs/math-ph/9810016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9810016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58236 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Condensed Matter | |
| dc.subject | Quantum Physics | |
| dc.title | Anomalous electron trapping by magnetic flux tubes and electric current vortices | |
| dc.type | text |