Bound states of a spin-1/2 charged particle in a magnetic flux tube

Abstract

We study a spin-1/2 charged particle with gyromagnetic factor g>2 moving in a plane threaded by a magnetic flux tube. We prove that, if the magnetic field (i) has radial symmetry, (ii) has compact support and (iii) does not change sign, there is at least one bound state for each angular momentum l in the interval [0,v], where v (assumed positive) is the total magnetic flux in units of the quantum of flux.

4 pages, REVTEX. Final version, to appear in J. Phys. A: Math. Gen

References in corpus (4)

• Charged Particle with Magnetic Moment in the Aharonov-Bohm Potential
• The Single-Particle density of States, Bound States, Phase-Shift Flip, and a Resonance in the Presence of an Aharonov-Bohm Potential
• Electron localization by a magnetic vortex
• Electron trapping by a current vortex

Cited by in corpus (3)

• Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles
• Anomalous electron trapping by localized magnetic fields
• Weak coupling asymptotics for the Pauli operator in two dimensions