Hydrogen atom (9) - Fine-Structure

(Alpar Sevgen, Bogazici University, Istanbul, Turkey) Fine-structure in Hydrogen as a sum of relativistic correction to kinetic energy, Darwin, and spin-orbit terms, all terms proportional to the fourth power of the fine-structure constant. Comparison with the exact Dirac energy eigenvalues to that order. Numerical examples for the n=2 levels of hydrogen.

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- (4:03) Relativistic correction to energy
- (36:20) The Darwin term
- (1:09:15) The spin-orbit term again
- (1:19:30) Spin-orbit & Darwin relation
- (1:25:04) Fine-structure: adding up the components
- (1:38:04) Fine-structure: displaying all the components and their sum schematically for the n=2 levels of Hydrogen.
- (1:44:16) Expanding the Dirac energy eigenvalue E(n,j) through the fourth power of the fine-structure constant, and comparing with the energy shift given by the fine-structure result.

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[thetherorist]

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