Superpositioning of electrons in magnets

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SUMMARY

The discussion centers on the superposition of electrons in magnets and their behavior in relation to magnetic fields. It is established that electrons in magnets are not in a superposition state; instead, their spins are magnetically polarized, resulting in a prepared state that generates magnetic fields. The concept of eigenstates is introduced, explaining that when an operator acts on certain states, it produces eigenstates characterized by specific eigenvalues. The averaging of spins in a statistical system leads to a bulk average that defines the magnetic properties of materials.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly superposition and wavefunction collapse.
  • Familiarity with the concept of magnetic polarization in materials.
  • Knowledge of eigenstates and eigenvalues in quantum mechanics.
  • Basic grasp of statistical mechanics and thermal equilibrium.
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  • Study the mathematical framework of operators and eigenstates in quantum mechanics.
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davidong3000
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I understand that in the bell theorem photonic spin is in a superpoistion state until one observes it. Is that also the case with electrons? If so then how come magnets are magnets? Surely the electrons already made up their minds which way their north and south magnetic poles are pointing according to their spin axis right? Thus generating the magnetic fields in magnets? Then surely they are no longer in superpositioned state? Or are electrons in magnets colapsed wavefunctions and behaving as permenant particles?

Dave
 
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any takers?
 
I preface that I'm not an expert on this subject.
AFAIK you have a sort of prepared state here, that is, the atoms spins have been magnetically polarized, so they are not in a superposition of states any longer. The analogous with photons would be light that has been polarized.
 
You're talking about a statistical system, so what's relevant isn't the individual quantum states, but the bulk average. In thermal equilibrium, the distributions are very sharply peaked about the averages, so you can regard things as being mostly in an energy eigenstate. However, because we're averaging, it doesn't terribly matter if it's in an energy eigenstate or not.
 
StatMechGuy said:
You're talking about a statistical system, so what's relevant isn't the individual quantum states, but the bulk average. In thermal equilibrium, the distributions are very sharply peaked about the averages, so you can regard things as being mostly in an energy eigenstate. However, because we're averaging, it doesn't terribly matter if it's in an energy eigenstate or not.

what is eigenstate?

Dave
 
davidong3000 said:
what is eigenstate?

Dave

Very short description.

An operator O acts on states p to produce other states q. In notation O(p) = q. This is the math description of on observation acting on a setup to produce a result.

Some of the states are special in that when the operator acts on them, it only multiplies them by a number; so O(p) = cp, where c is some constant number. A state with this property is called an eigenstate of the operator, the constant is called an eigenvalue. The set of all the eigenstates of an operator is called the spectrum of that operator.
 
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ok so the electrons in magnets are in superpositioned state but they still average out to point their poles in the direction of the north and south poles of the magnets?

What happens if we measure the spins of all the electrons in the magnets from an angle that is perpendicular to the magnet's length? Would we not force the poles to change by a 90 degree angle?

Dave
 

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