Pauli's exclusion principle and quantum entanglement

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Discussion Overview

The discussion revolves around the Pauli exclusion principle and quantum entanglement, specifically focusing on the differences between half-integer and integer spin in particles. The scope includes conceptual clarifications and technical explanations related to quantum mechanics.

Discussion Character

  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant defines the Pauli exclusion principle and quantum entanglement, noting that the principle applies to fermions and not to bosons like photons.
  • Another participant humorously states that the difference between half-integer and integer spin is 1/2.
  • A subsequent reply acknowledges the humor but also expresses gratitude for the insight, indicating a light-hearted tone in the discussion.
  • Another participant suggests that while the difference is half odd integral, it is not necessarily 1/2, and elaborates on the implications of half-integer and integer spin particles regarding spin multiplets and group representations.
  • This participant also references external resources for further information on the topic.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the difference between half-integer and integer spins, with some humorously simplifying it while others provide a more technical perspective. The discussion remains unresolved regarding the precise nature of this difference.

Contextual Notes

There are limitations in the discussion regarding the depth of understanding of spin multiplets and group representations, as some participants express uncertainty about the details.

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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