m = -1 and m = 1 stationary states of the particle on a ring. Blue line is the real part, black line is the imaginary part. Colouring on the cylinder indicates the phase, with zero phase coloured red. x-axis points toward you; y-axis points to the right and z-axis points up.

m = 0 and m = 1 and m = 2 stationary states of the particle on a ring. Colouring and axes as above.