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Pauli Exclusion Principle

by hokhani
Tags: exclusion, pauli, principle
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hokhani
#1
Feb18-12, 03:59 PM
P: 269
According to Slater determinant, can one say that two bosons are able to place in the same position X , but two fermions can not, no matter what their states are?
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Bill_K
#2
Feb18-12, 04:35 PM
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It's the total wavefunction that must be antisymmetric. This includes both the position and the spin (and any other degrees of freedom that may be present, like isospin). So for example a spin up fermion and a spin down fermion can have the same X.
hokhani
#3
Feb18-12, 04:49 PM
P: 269
Thanks for replying, but According to Slater determinant when X1=X2 the antisymmetric wave function become zero.

Bill_K
#4
Feb19-12, 10:42 AM
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Bill_K's Avatar
P: 4,160
Pauli Exclusion Principle

You're mistaken, hokhani. Since you don't believe me, take a look at the Slater Determinant page in Wikipedia. There it says, "The Slater determinant arises from the consideration of a wave function for a collection of electrons, each with a wave function known as the spin-orbital, χ(x), where x denotes the position and spin of the singular electron."

Your reference may be doing the same thing: letting the notation x stand for both spin and position combined.
hokhani
#5
Feb19-12, 12:13 PM
P: 269
Thanks very much
As i found out, there are 3 factors determining the pauli exclusion principal:
1) Particles' positions(x,y,z)
2) Particles' spins
3) Particles' energy states
Would you tell me if i am wrong?
questionpost
#6
Feb19-12, 07:03 PM
P: 198
If scientists have entangled more than two fermions, would that violate the principal?
hokhani
#7
Feb20-12, 03:18 PM
P: 269
Excuse me; I was wrong
In fact the third part covers the two other parts.


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