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I'm not sure whether you already have equations to use or not. But, here is something. Using information in section D.73.3 of this webpage on quantum mechanics, we need to plot ${(x^2+z^2)}^{(3/2)}=c x^2$ for various values of $c$. The following code produces a plot.

var('x z')
sum([implicit_plot((x^2+z^2)^(3/2)==c*x^2,(x,-5,5),(z,-5,5)) for c in [1,2,3,4]])

I'm not sure whether you already have equations to use or not. How you plot these all depends, of course, on how the equations are given. But, here is something. Using information in section D.73.3 of this webpage on quantum mechanics, we need to plot ${(x^2+z^2)}^{(3/2)}=c x^2$ for various values of $c$. The following code produces a plot.

var('x z')
sum([implicit_plot((x^2+z^2)^(3/2)==c*x^2,(x,-5,5),(z,-5,5)) for c in [1,2,3,4]])