If there are three electrons associated together then how

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SUMMARY

The discussion centers on the behavior of three electrons in a magnetic trap, specifically whether the middle electron can move freely towards the outer electrons or remains equidistant due to mutual repulsion. It is established that while the electrons can approach each other, their movement is constrained by their repulsive forces. To accurately model this scenario, one must derive the potential created by the magnetic trap and solve Schrödinger's equation for the three-electron system, a complex task akin to analyzing a lithium atom's behavior in an electrostatic trap.

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If there are three electrons associated with each other in some kind of magnetic trap then will the middle electron be able to move freely towards either of the outer electrons or will the middle electron be held equidistant between the two outer electrons?
 
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The electrons can approach each other - limited by their mutual repulsion.
Oversimplifying: they basically bounce around off the trap walls and off each other.
 
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If you really want to get it right, you have to write down the potential generated by the magnetic trap and then solve Schrödinger's equation for three electrons in that potential. This is a seriously non-trivial problem - consider that a lithium atom is basically three electrons in an electrostatic trap.
 

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