Anomalous electron trapping by localized magnetic fields
| dc.creator | Bentosela, F. | |
| dc.creator | Cavalcanti, R. M. | |
| dc.creator | Exner, P. | |
| dc.creator | Zagrebnov, V. A. | |
| dc.date | 1999-03-13 | |
| dc.date.accessioned | 2026-07-07T06:33:58Z | |
| dc.date.available | 2026-07-07T06:33:58Z | |
| dc.description | We consider an electron with an anomalous magnetic moment g>2 confined to a plane and interacting with a nonzero magnetic field B perpendicular to the plane. We show that if B has compact support and the magnetic flux in the natural units is F\ge 0, the corresponding Pauli Hamiltonian has at least 1+[F] bound states, without making any assumptions about the field profile. Furthermore, in the zero-flux case there is a pair of bound states with opposite spin orientations. Using a Birman-Schwinger technique, we extend the last claim to a weak rotationally symmetric field with B(r) = O(r^{-2-δ}) correcting thus a recent result. Finally, we show that under mild regularity assumptions the existence can be proved for non-symmetric fields with tails as well. | |
| dc.description | A LaTeX file, 12 pages; to appear in J. Phys. A: Math. Gen | |
| dc.identifier | https://arxiv.org/abs/math-ph/9903030 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9903030 | |
| dc.identifier | J. Phys. A32 (1999), 3029-3039 | |
| dc.identifier | doi:10.1088/0305-4470/32/16/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99375 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Condensed Matter | |
| dc.subject | Quantum Physics | |
| dc.title | Anomalous electron trapping by localized magnetic fields | |
| dc.type | text |