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

Second quantization operators

  1. Jun 30, 2010 #1
    Hi guys

    The fermionic creating and annihiliations operators: Do they satisfy

    c_{i,\sigma }^\dag c_{i,\sigma }^{} = - c_{i,\sigma }^{} c_{i,\sigma }^\dag

    for some quantum number i and spin σ, i.e. do they commute?
    Last edited: Jun 30, 2010
  2. jcsd
  3. Jun 30, 2010 #2
    yes they satisfy that, but that is called ANTIcommute
  4. Jun 30, 2010 #3
    c_{i,\sigma } c_{i,\sigma }^{\dag} = 1 - c_{i,\sigma }^{\dag} c_{i,\sigma }
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook