Pauli exclusion principle between 2 identical fermions

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SUMMARY

The discussion centers on the Pauli exclusion principle and its implications for identical fermions, specifically regarding their antisymmetric wavefunction. Participants assert that the antisymmetry of the wavefunction prevents it from being factorized as a tensor product, which leads to logical entanglement between two identical fermions. The conversation references the Slater determinant and highlights that the exclusion principle does not hold for non-antisymmetric wavefunctions. Thus, the Pauli exclusion principle is intrinsically linked to the concept of entanglement in quantum mechanics.

PREREQUISITES
  • Understanding of the Pauli exclusion principle
  • Familiarity with antisymmetric wavefunctions
  • Knowledge of Slater determinants
  • Basic concepts of quantum entanglement
NEXT STEPS
  • Research the mathematical formulation of antisymmetric wavefunctions
  • Study the implications of the Pauli exclusion principle in quantum mechanics
  • Explore the role of Slater determinants in fermionic systems
  • Investigate the relationship between entanglement and fermionic statistics
USEFUL FOR

Quantum physicists, students of quantum mechanics, and researchers exploring the properties of fermions and entanglement will benefit from this discussion.

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hi,

can we say that the Pauli exclusion principle between 2 identical fermions implies logically entanglement because of the antisymmetric wavefunction, that can not be factorized as a tensor product:

http://en.wikipedia.org/wiki/Slater_determinant
"However, it is not satisfactory for fermions, such as electrons, because the wave function is not antisymmetric"

?
thank you
 
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thank you very much for the link, but I was wondering if the exclusion principle implies logically entanglement for 2 identical fermions.
thank you!
 

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