How is spin rotation measured?

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Discussion Overview

The discussion focuses on the measurement of spin in quantum mechanics, particularly through the context of experiments like the Stern-Gerlach experiment and Rabi's experiment. Participants explore the concept of rotating magnetic fields and their role in spin measurement, delving into both theoretical and experimental aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant references an article discussing spin measurement but seeks clarification on the concept of a "rotating external field" and its implications for spin measurement.
  • Another participant explains Rabi's experiment, emphasizing the use of a rotating magnetic field to measure the magnetic moment and how it interacts with spin states.
  • A question is raised about the literal interpretation of a rotating magnetic field, specifically whether it involves a physical rotation of the magnetic poles.
  • Further clarification is provided regarding the behavior of magnetic dipoles in a strong magnetic field and their rotation in the x-y plane at a Larmor frequency, along with the need for an additional rotating field to induce spin flips.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the nature of rotating magnetic fields and their application in measuring spin. Participants express uncertainty about specific mechanisms and interpretations, indicating that the topic remains unresolved.

Contextual Notes

Participants do not fully agree on the definition and implications of a rotating magnetic field, and there are assumptions about the behavior of magnetic dipoles that are not explicitly detailed. The discussion also reflects varying levels of understanding of the experimental setups involved.

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Hello all,

In the following article I found through google, they explain how spin is measured:
http://news.softpedia.com/news/Why-Is-Quantum-Mechanics-So-Weird-40009.shtml

I understand how the Stern-Gerlach experiment works, but the article doesn't go into much detail about the next experiment where it describes the measurement of the spin being more than 360 degrees. They are talking about "rotating the external field", but what exactly does that mean? Does that mean a graduate bending of the magnetic field, such that halfway the north and south poles are reversed until the end where it is back to the starting magnetic field? Or is it done by some other method?

Thanks in advance
 
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Softpedia doesn't explain it very well. The point of Rabi's experiment was to accurately measure the magnetic moment. He had a Stern-Gerlach magnet which separated the spins followed by a second one to bring them back together. In between he subjected both beams to a rotating magnetic field with frequency ω. When ω was just the right frequency to cause a spin flip, the beams would fail to get all the way through.
 
Okay thanks for your answer. But what exactly is a rotating magnetic field in this context? Does it literally just mean a magnet whose north and south pole make a 360-degree rotation at a high speed, making a circle around the actual magnetic field?
 
If I have a strong Magnetic field B0 in the z direction then any atoms inside will have their magnetic dipoles align in the z direction, but will rotate in the x-y plane at a larmor frequency ω. Because the dipoles are rotating in the x-y plane with a frequency ω, you will need to apply a not as strong B1 field that is rotating at the same frequency ω for a short time to tip (flip) the dipole some small angle.
 

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