Supersymmetry and the Binding of a Magnetic Atom to a Filamentary Current

We suggest the binding of neutral atoms to a current carrying wire through the interaction between the atomic magnetic dipole moment and the wire's magnetic field. The theoretical description is based upon an extension of the concept of supersymmetry to multicomponent wave functions. A solution for spin $\frac{1}{2}$ particles is obtained directly in coordinate space. Spin 1 particles are considered as well. Experimentally, the system should be immediately realizable for 25 mK sodium atoms around a wire with a diameter of $0.5\mu \mathrm{m}$ and a current of 400 mA.