For states where ℓ = n — 1, the radial probability assumes the general form given in Exercise 54. The proportionality constant that normalizes this radial probability is given in Exercise 64. (a) Show that the expectation value of the hydrogen atom potential energy is exactly twice the total energy. (It turns out that this holds no matter what i may be.) (b) Argue that the expectation value of the kinetic energy must be the negative of the total energy.
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