Question

Calculate the ground state energy of the following in J using the 1-D PIAB model: (a)...

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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