External Magnetic Field & Electron Spin Interaction

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Discussion Overview

The discussion revolves around the interaction between an external magnetic field and a system of electron spins, particularly in the context of solid state physics. Participants explore whether the electrons can be treated as bound or unbound and how this affects calculations related to temperature in the presence of an external field.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether it is valid to assume that the external magnetic field can be treated as constant (B=B_0) and whether the electrons in the system are bound to a material configuration or can be considered unbound.
  • Another participant emphasizes the need for more context regarding the lecture course to adequately address the initial question.
  • A participant clarifies that the discussion is situated within a Solid State Physics course, noting that the interaction of the external field with electron spins can lead to temperature calculations based on the ratio of electrons with parallel versus anti-parallel spins.
  • It is mentioned that in solid state physics, electrons are typically bound to a crystal lattice, and their behavior is influenced by band theory and unscreened lattice charges.

Areas of Agreement / Disagreement

Participants express differing views on the treatment of electrons as bound or unbound, and there is no consensus on the implications of these assumptions for the calculations discussed.

Contextual Notes

The discussion highlights a lack of specific information regarding the assumptions that can be made about the system, particularly in relation to the nature of the electrons and the external magnetic field.

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In my lecture notes, there is a slide about an external field interacting with a system of electron spins. In this situation can we assume that B=B_0 ( or in other words that μ_0*M =0)? I would think so, but does a system of electron spins imply that these electrons belong to some matter configuration (are bound), or can they to be treated as unbound electrons?
 
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You will have to consider all that in the context of the lecture course ... there's not enough information.
 
It's a Solid State Physics Course. The slide says that if you know the external field and the ratio of the number of electrons with spin parallel to anti-parallel that we can calculate the temperature when a field interacts with a set of electron spins.
 
In solid state the electrons are usually bound to some sort of crystal - the solid.
You'll have done band-theory(?) so the electrons are (usually) treated as bound to a well that spans the entire crystal with the effect of unscreened lattice charges added as a perturbation.
 
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