Pauli's exclusion principle and quantum entanglement

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...;)
 
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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
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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