Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 7, Problem 55E

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 energy potential energy is exactly twice the total energy. (It turns out that this holds no matter what l may be.) (b) Argue that the expectation value of the kinetic energy must be the negative of the total energy.

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