Giromagnetic Ratio: What is Spin & Meaning?

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SUMMARY

The giromagnetic ratio is the ratio of the magnetic moment to angular momentum, specifically for particles like electrons and protons, each possessing a spin of 1/2. The electron's gyromagnetic ratio is defined as 2X(e/2mc), with the factor of 2 emerging from the Dirac equation. In contrast, the proton's gyromagnetic ratio is 2X2.79X(e/2Mc), where the factor of 2.79 accounts for the anomalous magnetic moment due to strong interactions. Quantum Electrodynamics (QED) enhances Dirac's equation, affirming the remarkable alignment between theoretical predictions and experimental results.

PREREQUISITES
  • Understanding of gyromagnetic ratio
  • Familiarity with spin in quantum mechanics
  • Knowledge of the Dirac equation
  • Basic principles of Quantum Electrodynamics (QED)
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  • Study the implications of the Dirac equation in particle physics
  • Explore Quantum Electrodynamics (QED) and its applications
  • Research the concept of anomalous magnetic moments in subatomic particles
  • Investigate experimental methods for measuring gyromagnetic ratios
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What giromagnetic ratio means? What is exactly the spin (of an electron or proton)
Thanks for answering me.
 
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The gyromagnetic ratio is defined as the ratio of the magnetic moment to the angular momentum. The electron and proton each have spin 1/2.
The electron has a gyromagnetic ratio 2X(e /2mc). The factor of 2 was a relativistic surprise, arising from the Dirac equation.
The proton's gyromagnetic ratio is 2X2.79X(e/2Mc). The additional factor of 2.79 is related to the "anamolous" magnetic moment of the proton due to its strong interactions.
 
And QED improves on Dirac's equation (not lessening the "magic" of his equation in any way) by quantizing the electromagnetic field.

This number (sometimes divided by two) is what one often states as "unprecedented agreement of theory and experiment," and in fact is probably the closest match between a theoretical and experimental figure in the history of science.
 

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