Second quantization operators

  • Thread starter Niles
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  • #1
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Main Question or Discussion Point

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:

Answers and Replies

  • #2
505
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yes they satisfy that, but that is called ANTIcommute
 
  • #3
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[tex]
c_{i,\sigma } c_{i,\sigma }^{\dag} = 1 - c_{i,\sigma }^{\dag} c_{i,\sigma }
[/tex]
 

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