Pauli's exclusion principle and quantum entanglement

In summary, the Pauli exclusion principle states that identical fermions cannot occupy the same quantum state simultaneously. This principle does not apply to bosons, which have full integer spins. The difference between half integer and full integer spins is that half integer spin particles permit spin multiplets with an even number of states, while integral spin particles permit spin multiplets with an odd number of states. This corresponds to different group representations of an SU(2) subgroup of the Lorentz algebra.
  • #1
San K
911
1
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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  • #2
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:
 
  • #3
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:
  • #4
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
 

What is Pauli's exclusion principle?

Pauli's exclusion principle is a fundamental principle in quantum mechanics that states that no two identical fermions (particles with half-integer spin) can occupy the same quantum state simultaneously. This means that electrons in an atom must have different quantum numbers and occupy different energy levels.

How does Pauli's exclusion principle affect electron configurations?

Pauli's exclusion principle dictates the rules for filling electron orbitals in atoms. It states that each orbital can hold a maximum of two electrons, and they must have opposite spins. This explains the organization of electrons in shells and subshells within an atom.

What is quantum entanglement?

Quantum entanglement is a phenomenon in quantum mechanics where two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even when they are separated by large distances. This means that measuring the state of one particle instantly determines the state of the other, regardless of the distance between them.

How does quantum entanglement violate classical physics?

Quantum entanglement violates classical physics because it allows for particles to instantaneously affect each other's state, even when separated by large distances. This goes against the principle of locality, which states that an object can only be influenced by its immediate surroundings.

What are the potential applications of quantum entanglement?

Quantum entanglement has potential applications in quantum computing, quantum cryptography, and quantum teleportation. It also has implications for understanding the nature of reality and the interconnectedness of particles in the universe.

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