Quantum Physics III Chapter 2: Hydrogen Fine Structure
, (2.1.4) and the rest energy of the electron is mc2. Then, e2 a 0 = me4 ~2 = mα2~2c2 ~2 = α2 mc2. (2.1.5) This states that the energy scale of hydrogen bound states is a factor of α2 smaller than the rest energy of the electron, that is, about 19000 times smaller. We can thus rewrite the possible energies as: En = −1 2α 2 mc2 1 n. (2.1.6)
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