The Hydrogen atom Fine structure

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The diagonal matrix element is

It can be calculated analytically

Finally

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Perturbation theory for a degenerate level Is desirable that the perturbation LS to be diagonal This is valid in the representation |lsjm j >, because L 2 , S 2 , J 2 and J z commute with LS. We write the scalar product as

The diagonal matrix element is It can be calculated analytically Finally

Page 1: The Hydrogen atom Fine structure
Page 4 and 5: • s=1/2 The spin of the electron
Page 6 and 7: • The total angular momentum •
Page 9: The perturbational treatment of the
Page 15 and 16: The difference between the two spli
Page 17 and 18: The Lamb shift experiment
Page 19: Hyperfine splitting • The magneti

The Hydrogen atom Fine structure

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