  In this paper we present both the classical and quantum periodic-orbits of a
neutral spinning particle constrained in two-dimensional central-potentials
with a cylindrically symmetric electric-field in addition which leads to an
effective non-Abelian gauge field generated by the spin-orbit coupling.
Coherent superposition of orbital angular-eigenfunctions obtained explicitly at
the condition of zero-energy exhibits the quantum-classical correspondence in
the meaning of exact coincidence between classical orbits and spatial patterns
of quantum wave-functions, which as a consequence results in the fractional
quantization of orbital angular-momentum by the requirement of the same
rotational symmetry of quantum and classical orbits. A non-Abelian anyon-model
emerges in a natural way.
