Completeness relation for polarization vectors

  • #1
I'm reading some quantum optics and I stumbled on the following completeness relation for the polarization vectors of the electromagnetic field.

[tex]\sum_{a} (\epsilon_{\vec{k} a } )_i ( \epsilon^*_{ \vec{k} a} )_j = \delta_{ij} -\frac{k_i k_j}{\vec{k}^2}[/tex]


Does anyone know how to derive this relation?
 

Answers and Replies

  • #2
dextercioby
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Check out page 36 of Cohen-Tannoudji's <Introduction to Quantum Electrodynamics>.
 
  • #3
Thanks! :)
 

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