How many spots will a rotating Stern-Gerlach apparatus produce?

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SUMMARY

The discussion centers on the expected outcomes of a rotating Stern-Gerlach (S-G) apparatus when using electrons as the particles of interest. Participants debate whether a short pulse of electrons will yield two distinct spots on the detection screen, as is typical in static S-G experiments, or if a continuous stream will produce a circular trace due to the apparatus's rotation. The introduction of an electric field to counteract the Lorentz force acting on the electrons is also discussed, with references to the original S-G experiment using neutral silver atoms. Ultimately, the consensus leans towards the expectation of two spots under specific conditions.

PREREQUISITES
  • Understanding of quantum mechanics, particularly spin and measurement theory.
  • Familiarity with the Stern-Gerlach experiment and its implications for particle behavior.
  • Knowledge of Lorentz force and its effects on charged particles in magnetic fields.
  • Basic grasp of electric fields and their role in experimental physics.
NEXT STEPS
  • Research the mathematical framework of the Stern-Gerlach experiment using electrons.
  • Explore the effects of electric fields on charged particles in magnetic fields.
  • Investigate alternative particles for S-G experiments, such as neutrons or neutral atoms.
  • Study the implications of measurement theory in quantum mechanics and its relation to particle detection.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in experimental physics and the behavior of particles in magnetic fields.

  • #31
gentzen said:
I am pretty sure that what I mean by "inner structure" is not the source of our misunderstanding.
If by "inner structure" you mean "composite of other particles", then no, we're in agreement on that point.
 
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  • #32
gentzen said:
I did google before I wrote that, and one of the results I found said:
Without a reference to back that statement up I'm not sure how reliable it is.
 
  • #33
Lets tale a step back.

A spin-0 particle cannot have a dipole moment, either electric or magnetic, because there is no direction in which it can point. A similar argument can be made (more mathy) to show a spin-1/2 particle can have a monopole monent (charge), a dipole moment (electric or magnetic) but no higher moments. EDMs open a can of worms that is a big distraction - if you want to discuss them, that should be another thread. So we have MDMs.

The neutrino MDM is measured to be close to zero. As close as we can get. Since magnetic moments go as 1/m, and neutrinos are light, if there were any new physics effect, it should be large. Since we see no evidence whatsoever for this, we know it is very, very small. I do not know what the most stringent limit is, but if the neutrino had even a tiny MDM, the process ##\gamma \rightarrow \nu + \overline{\nu}## would go on all the time. Since we don't see it at all, it either does not happen, or happens way too rarely for us to see it.

In either case, the process is far, far too weak to be seen in a S-G experiment. If this were not the case, we would have seen it elsewhere.

Note that this is the same question as "How do we know that neutrinos are neutral and not almost neutral?" Same answer - "almost" is so close to reality that in virtually every case it does not metter.
 
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