What Are the Selection Rules for the Zeeman Effect?

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SUMMARY

The Zeeman effect is governed by four specific selection rules that must all be satisfied for a transition to be allowed. These rules dictate the conditions under which an electron can transition between energy levels in the presence of a magnetic field. The discussion clarifies that satisfying only one of the selection rules is insufficient; all four must be met for the transition to occur. This definitive requirement is crucial for understanding the behavior of atomic transitions in magnetic fields.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with atomic structure and electron transitions
  • Knowledge of magnetic fields and their effects on atoms
  • Basic grasp of selection rules in quantum mechanics
NEXT STEPS
  • Study the detailed implications of the Zeeman effect on atomic spectra
  • Explore the derivation of the four selection rules in quantum mechanics
  • Investigate the applications of the Zeeman effect in spectroscopy
  • Learn about the role of magnetic fields in quantum transitions
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Physicists, students of quantum mechanics, and researchers interested in atomic spectroscopy and the effects of magnetic fields on atomic transitions.

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I am reading some online article on Zeeman effect
http://math.ucr.edu/home/baez/spin/node10.html
In the article, the author mentions 4 selection rules, I wonder the corresponding transition is allowed by satisfying one of these selection rules or the corresponding line will be allowed only when all rules are satisfied?

Thanks.
 
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All four selection rules must be satisfied.
 

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