Rm. Cavalcanti et Caa. Decarvalho, BOUND-STATES OF A SPIN-(1) (2) CHARGED-PARTICLE IN A MAGNETIC-FLUX TUBE/, Journal of physics. A, mathematical and general, 31(34), 1998, pp. 7061-7063
We study a spin-1/2 charged particle with gyromagnetic factor g > 2 mo
ving in a plane threaded by a magnetic flux tube. We prove that, if th
e magnetic field (i) has radial symmetry, (ii) has compact support and
(iii) does nor change sign, there is at least one bound state for eac
h angular momentum l in the interval [0, v], where v (assumed positive
) is the total magnetic flux in units of the quantum of Bur.