# What's the meaning of "totally antisymmetric" in Pauli's Principle?

1. ### bznm

80
Pauli's Principle says:

"The wavefunction of two identical fermions must be totally antisymmetric".

I know that, for a antisymmetric wavefunction,

$(-1)^L*(-1)^{S+1}*(-1)^{I+1}=-1$

"totally antisymmetric" means this relation or it means that these 3 relations:

$(-1)^L=-1$ and

$(-1)^{S+1}=-1$ and

$(-1)^{I+1}=-1$

must be verified simultaneously?

Thank you!

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3. ### Simon Bridge

14,429
A system of particles is antisymmetric if it's wavefunction changes sign under exchange of some two particles, it is totally antisymmetric if it does this under exchange of any two.
You should be able to work out the actual conditions from there.

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