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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 17Day 453

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Year 1·Month 17·Week 1

Day 453: Fine Structure — Perturbation Theory Application

Day 453 of 2,016~2 min read

Learning Objectives

  • •Apply perturbation theory to hydrogen atom
  • •Calculate relativistic, spin-orbit, and Darwin corrections
  • •Use degenerate PT for the n = 2 shell
  • •Verify the fine structure formula
  • •Understand the role of good quantum numbers
  • •Connect perturbation theory to exact results

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The PerturbationsRelativistic CorrectionSpin-Orbit CorrectionDarwin TermCombined ResultExample n 2 Shell
Day 452Day 453 of 2,016Day 454