FIG. 4: The first excited states for m = 0 , 10 , 30.The excited states get more confined about θ = π/ 2 as m increases FIG. 3: The first row shows the potential for three values of m , the second row shows the ground state solutions for those potentials, the last line shows the polar plots for the Legendre functions with the argument cos θ for the corresponding values of m and l 8