Gauge fields interacting with two-dimensional central potentials

Zero-energy eigenstates of the two-dimensional Schrödinger equation with central potential Va(ρ)=−a2gaρ2(a−1) (a≠0, ga>0 and ρ=x2+y2 ) is formulated as a kind of gauge. It is shown that the effects of the gauge fields are solved as the factors eigχ, where χ are complex functions written by the zero-energy eigenfunctions.