A particle has a wave function u(x, y, z) = A z exp[b(x2 + y2 + z2)], where b is a constant. Show that this wave function is an eigenfunction of 1:2 and of iz and nd the corresponding eigenvalues. Hint: Use the spherical polar expressions for Z2 and L, and write the wave function in spherical polars. Can you identify the physical system for which this is an energy eigenstate