Choice of Model for Cooper Pairing

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SUMMARY

The discussion focuses on the mechanisms of Cooper pairing in superconductivity, emphasizing the importance of the BCS (Bardeen-Cooper-Schrieffer) theory, which has been foundational since 1957. The BCS theory explains Cooper pair formation through phonon exchange in conventional superconductors. Additionally, the conversation touches on the relationship between fermionic condensates and the BCS model, indicating a smooth crossover to the BEC (Bose-Einstein Condensate) model. Relevant academic references are provided for further exploration of these concepts.

PREREQUISITES
  • Understanding of BCS theory and its implications in superconductivity.
  • Familiarity with the concepts of Cooper pairs and phonon exchange.
  • Knowledge of fermionic condensates and their relationship to BEC.
  • Basic grasp of condensed matter physics and Lie Groups.
NEXT STEPS
  • Study the BCS theory in detail to understand Cooper pair formation.
  • Research phonon interactions and their role in superconductivity.
  • Explore the concept of fermionic condensates and their significance in condensed matter physics.
  • Investigate Lie Groups and their applications in quantum mechanics and particle physics.
USEFUL FOR

Physicists, particularly those specializing in condensed matter physics, students studying superconductivity, and researchers interested in the mathematical models of particle interactions.

mstrachan
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I'm looking for advice about which physical/mathematical model to study in order to understand the mechanism of cooper pairing of electrons in super conductivity.

As I understand it, this requires a description of spin, and the mechanics of wavefunction interaction between two particles.

What Lie Groups or models address this?

-Mark
 
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mstrachan said:
I'm looking for advice about which physical/mathematical model to study in order to understand the mechanism of cooper pairing of electrons in super conductivity.

As I understand it, this requires a description of spin, and the mechanics of wavefunction interaction between two particles.

What Lie Groups or models address this?

-Mark

This also applies to your question in another string regarding fermionic condensates.

Why haven't you look at the BCS theory? The questions that you are asking are not in "nuclear/particle physics", but rather in the area of condensed matter physics. The BCS Theory has solved for the mechanism of cooper pair formation in conventional superconductors since 1957. The pairs are formed via phonon exchange as the mechanism in those superconductors (all bets are off in high-Tc superconductors).

The fermionic condensates area of study is a "bridge" between the BCS model and the BEC model. It was thought that the transition between the two isn't smooth. The recent clearer discovery of the fermionic condensate shows that it is a smooth "crossover" between the two extremes.

http://arxiv.org/abs/cond-mat/0404274
http://xxx.lanl.gov/abs/cond-mat/9508063
http://xxx.lanl.gov/abs/cond-mat/0106143

Zz.
 

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