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Second quantization operators

  1. Jun 30, 2010 #1
    Hi guys

    The fermionic creating and annihiliations operators: Do they satisfy

    [tex]
    c_{i,\sigma }^\dag c_{i,\sigma }^{} = - c_{i,\sigma }^{} c_{i,\sigma }^\dag
    [/tex]

    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
    [tex]
    c_{i,\sigma } c_{i,\sigma }^{\dag} = 1 - c_{i,\sigma }^{\dag} c_{i,\sigma }
    [/tex]
     
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