Fermions, Pauli and antisymmetry

  • Context: High School 
  • Thread starter Thread starter imsmooth
  • Start date Start date
  • Tags Tags
    Fermions Pauli
Click For Summary

Discussion Overview

The discussion centers on the origins and implications of Pauli's exclusion principle, particularly in relation to fermions and their antisymmetric properties. Participants explore historical context, theoretical foundations, and the uniqueness of these concepts within quantum mechanics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Historical

Main Points Raised

  • Some participants question how Pauli determined his exclusion principle and whether it was influenced by his ideas on electron shell filling.
  • One participant suggests that the antisymmetry of fermions is a mathematical solution that aligns with quantum theory, while noting that this property is unique to quantum mechanics.
  • Another participant mentions that there must be a principle preventing all electrons from occupying the ground state, indicating a need for an underlying explanation.
  • Historical references are provided, including links to articles that discuss Pauli's insights and contributions.
  • Participants note that Pauli also derived an early version of the spin statistics theorem, contributing to the understanding of particle behavior.

Areas of Agreement / Disagreement

Participants express a range of views on the historical and theoretical aspects of Pauli's work, with no consensus reached on the specifics of how the exclusion principle was derived or its implications.

Contextual Notes

Some discussions reference historical insights and articles, but the limitations of these sources and their interpretations are not fully explored. The relationship between the exclusion principle and the behavior of fermions remains a topic of inquiry.

imsmooth
Messages
154
Reaction score
13
How did Pauli determine his exclusion principle? Was it based on how he posited electron shells filled? Is the fact that fermions are antisymmetic a mathematical solution to make the principle work with quantum theory?
 
Physics news on Phys.org
imsmooth said:
How did Pauli determine his exclusion principle? Was it based on how he posited electron shells filled? Is the fact that fermions are antisymmetic a mathematical solution to make the principle work with quantum theory?
I don't know the historical side, but I think it became clear that there must be some principle at work to prevent all electrons reaching the ground state.

That the wave function for identical fermions must be totally antisymmetric can be derived from QFT. As far as straight QM goes, it's essentially an axiom.

There is nothing like it outside of quantum theory: it's a purely QM phenomenon.
 
  • Like
Likes   Reactions: vanhees71
I think it was also Pauli who derived a first version of the spin statistics theorem.
 
  • Like
Likes   Reactions: vanhees71

Similar threads

  • · Replies 17 ·
Replies
17
Views
4K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K