• A particle in a 1-D rigid box of length L (an infinite square well) is in its ground state. The box is compressed to length L/2. (a) By what factor does the ground-state energy increase? (b) By what factor does the first excited-state energy increase? (c) Repeat the calculations in (a) and (b) for the case of a particle in a 3-D box of volume V = L3.
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