Pauli's exclusion principle and quantum entanglement

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SUMMARY

The Pauli exclusion principle states that no two identical fermions can occupy the same quantum state simultaneously, which is crucial in quantum mechanics. In contrast, quantum entanglement describes a phenomenon where pairs of particles share a quantum state, regardless of distance. The discussion highlights that the Pauli exclusion principle applies to fermions, which have half-integer spins, while bosons, such as photons with integer spins, do not follow this principle. The difference between half-integer and integer spins is defined as 1/2, impacting the types of spin multiplets formed by these particles.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with fermions and bosons
  • Knowledge of spin and its significance in particle physics
  • Basic grasp of group representations in quantum theory
NEXT STEPS
  • Research the implications of the Pauli exclusion principle in atomic structure
  • Explore quantum entanglement and its applications in quantum computing
  • Study the differences between half-integer and integer spin particles in detail
  • Investigate the SU(2) subgroup of the Lorentz algebra and its relevance to particle physics
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Physicists, quantum mechanics students, and researchers interested in particle behavior and quantum interactions will benefit from this discussion.

San K
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The Pauli exclusion principle: is the quantum mechanical principle that no two identical fermions (particles with half-integer spin) may occupy the same quantum state simultaneously

Quantum entanglement: the type of interaction is such that each resulting member of a pair is properly described by the same quantum mechanical description (state)

Pauli's exclusion does not apply to bosons, for example photons, because they have (full) integer spins.

What is the difference between a half integer and a (full) integer spin?
 
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San K said:
What is the difference between a half integer and a (full) integer spin?


The difference is 1/2.






:devil: The devil made me say that! :devil:
 
DrChinese said:
The difference is 1/2.
:devil: The devil made me say that! :devil:
wow...good one, thanks. Your answer was very insightful...:)

Owe you Tandoori Chicken...;)
 
Last edited:
The difference is certainly half odd integral, but not necessarily 1/2 :D
And i believe the difference is that half integral spin particles permit spin multiplets with an even number of states, and integral spin particles permit spin multiplets with an odd number of states. Even and odd numbered multiplets correspond to different group representations of an SU(2) subgroup of the Lorentz algebra. I really don't know much of the details of all of this. Maybe try wikipedia for more of that.
for example:
http://en.wikipedia.org/wiki/Spin_multiplet#Spin_projection_quantum_number_and_spin_multiplicity
 

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