Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Jun 27, 2014 #1
    Pauli's Principle says:

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

    I know that, for a antisymmetric wavefunction,


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

    [itex](-1)^L=-1[/itex] and

    [itex](-1)^{S+1}=-1[/itex] and


    must be verified simultaneously?

    Thank you!
  2. jcsd
  3. Jun 28, 2014 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook