Superpositioning of electrons in magnets

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Discussion Overview

The discussion revolves around the concept of superposition in quantum mechanics, particularly in relation to electrons in magnets. Participants explore the implications of electron spin states, magnetic polarization, and the behavior of electrons in magnetic fields, touching on theoretical and conceptual aspects.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether electrons in magnets are in a superposition state or if their wavefunctions have collapsed, leading to permanent magnetic behavior.
  • Another participant suggests that the spins of atoms in magnets are magnetically polarized, implying they are not in a superposition of states.
  • A different viewpoint emphasizes the statistical nature of the system, noting that the bulk average of electron states is more relevant than individual quantum states.
  • There is a request for clarification on the concept of eigenstates and their relation to measurements in quantum mechanics.
  • A participant proposes that electrons in magnets may still be in a superposition state but average out to align with the magnetic poles, raising questions about the effects of measuring spins from different angles.

Areas of Agreement / Disagreement

Participants express differing views on whether electrons in magnets are in superposition or have collapsed wavefunctions. There is no consensus on the implications of measuring electron spins or the nature of their alignment in magnetic fields.

Contextual Notes

Some concepts, such as the definition of eigenstates and the implications of measurement on quantum states, remain unresolved and are subject to interpretation.

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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