Stern-Gerlach experiment when magnetic field varies from 0 to B

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SUMMARY

The discussion centers on the Stern-Gerlach experiment, specifically examining the behavior of silver atoms as they pass through a magnetic field that varies from 0 to Bmax. It is established that the deflection of the atoms is dependent on the gradient of the magnetic field rather than its absolute value. The relationship between the distance of separation of the Spin_Up and Spin_Down beams and the magnetic field strength is not linear; a minimum magnetic field strength is required to observe quantized spin states. The interaction between the magnetic field and atomic spin is fundamentally quantized, indicating a non-proportional relationship at lower field strengths.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly spin.
  • Familiarity with the Stern-Gerlach experiment methodology.
  • Knowledge of magnetic field gradients and their effects on charged particles.
  • Basic grasp of atomic structure, specifically silver atoms.
NEXT STEPS
  • Research the mathematical formulation of the Stern-Gerlach experiment.
  • Explore the implications of magnetic field gradients on particle deflection.
  • Study quantum mechanics concepts related to spin quantization.
  • Investigate variations of the Stern-Gerlach experiment with different atomic species.
USEFUL FOR

Physicists, students of quantum mechanics, and educators looking to deepen their understanding of atomic behavior in magnetic fields.

owlal85
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Hello,
in the Stern-Gerlach Experiment a beam of silver atoms passes through a magnetic field B and is separated in two beams Spin_Up and Spin_Down and a distance can be mesured between Up and Down

My question is what happen B varies from 0 to Bmax ?
Is the distance between Up and Down trace proportional to B ? Any formula ?

Or, is there a minimun value of B that triggers Up or Down ? And then no proportionality...
Which means a kind of quantification in the interaction between B and the Spin .

Thanks
 
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