Ya. Sitenko, SELF-ADJOINTNESS OF THE DIRAC HAMILTONIAN AND FERMION NUMBER FRACTIONIZATION IN THE BACKGROUND OF A SINGULAR MAGNETIC VORTEX, Physics letters. Section B, 387(2), 1996, pp. 334-340
The method of self-adjoint extensions is employed to determine the vac
uum quantum numbers induced by a singular static magnetic vortex in (2
+ 1)-dimensional spinor electrodynamics. The results obtained are gau
ge-invariant and, for certain values of the extension parameter, both
periodic in the value of the vortex Aux and possessing definite parity
with respect to the charge conjugation.