Hyperfine splitting in Hydrogen atom

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SUMMARY

The discussion centers on the hyperfine splitting in the Hydrogen atom, specifically the magnetic interactions between the spins of the electron and proton. It is established that the proton spin contributes to hyperfine splitting, yet its independence from the energy levels involved raises questions. The participants seek to clarify the relationship between the proton spin and the energy of the hyperfine splitting, emphasizing the need for a deeper understanding of quantum mechanics principles governing these interactions.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of spin and magnetic interactions
  • Familiarity with atomic structure and energy levels
  • Knowledge of the Hydrogen atom's spectral lines
NEXT STEPS
  • Study the principles of quantum mechanics related to spin and magnetic moments
  • Research the mathematical formulation of hyperfine splitting in Hydrogen
  • Explore the implications of proton and electron spin interactions
  • Investigate experimental methods for measuring hyperfine splitting
USEFUL FOR

Physicists, students of quantum mechanics, and researchers interested in atomic physics and the behavior of fundamental particles.

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We know this tiny splitting in degenerate levels in Hydrogen spectrum due to magnetic interactions between spins of electron and proton. but is that true the proton spin is independent of energy in this (hyperfine) splitting? I want to understand the physics of this splitting and how the spin orientation of massive proton, in comparison to electron, become independent of the energy of splitting.
 
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The proton spin is the cause of hyperfine splitting, so what is the meaning of saying the former (cause) is independent from the latter (result)?
 

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