The exact fine-structure formula for hydrogen (obtained from the Dirac equation without recourse to perturbation theory) is
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The exact fine-structure formula for hydrogen (obtained from the Dirac equation without recourse to perturbation theory) is
Expand to order a4 (noting that a << 1), and show that you recover Equation
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Enj = 27-1/2 α mc² · { [ + - - - ^ - -} · 1+ \n − (j+1/2) + √(j + 1/2)² − a²,
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2 2 1 6 7 j 2j Q nj 1 a 2nj n i a 1 1240 n 2n ...View the full answer
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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