In discussing the Boltzmann distribution in Chapter 13, we used the symbols gi and gj to indicate the degeneracies of the energy levels i and j. By degeneracy, we mean the number of distinct quantum states (different quantum numbers) all of which have the same energy.
a. Using your answer to Problem P15.17a, what is the degeneracy of the energy level 9h2/4ma2 or the square two-dimensional box of edge length a?
b. Using your answer to Problem P15.14b, what is the degeneracy of the energy level 17h2/8ma2 or a threedimensional cubic box of edge length a?
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