Calculate the ground state energy of the following in J using the 1-D PIAB model:
(a) an electron in a box of size 1 ˚A(approximately the diameter of the first Bohr orbit in the hydrogen atom);
(b) a proton in a box of size 1 ˚A; and
(c) a proton in a box of size 10−14 m (approximate size of an atomic nucleus).
(d) Comment on these numbers in the light of typical energies of electronic transitions, vibrational transitions, and nuclear decays.
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