Problem 6.15 Derive the fine structure formula (Equation 6.65) from the relativis- tic correction (Equation 6.56) and the spin-orbit coupling (Equation 6.64). Hint: Note that j = 1+ 1/2; treat the plus sign and the minus sign separately, and you'll find that you get the same final answer either way.

Problem 6.15 Derive the fine structure formula (Equation 6.65) from the relativis- tic correction (Equation 6.56) and the spin-orbit coupling (Equation 6.64). Hint: Note that j = 1+ 1/2; treat the plus sign and the minus sign separately, and you'll find that you get the same final answer either way.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

*Problem 6.15 Derive the fine structure formula (Equation 6.65) from the relativis-
tic correction (Equation 6.56) and the spin-orbit coupling (Equation 6.64). Hint: Note
that j = 1+ 1/2; treat the plus sign and the minus sign separately, and you'll find
that you get the same final answer either way.

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