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Magnetic Field from quantized vector potential

  1. Apr 11, 2010 #1
    1. The problem statement, all variables and given/known data

    Please help me find curl of A(vector potential) to find the magnetic field in the case of quantizes EnM fields.


    2. Relevant equations

    [tex]\vec{A}=\sum_{k,\lambda } e^{ikr}\sqrt{2\hbar / \omega_k}}\sqrt{\pi c^2/V}}(b_{\lambda,k} \hat{\epsilon}_{\lambda}(k)+b^{\dagger}_{\lambda,-k} \hat{\epsilon}_{\lambda}^{*}(-k))[/tex]

    V is the volume which is quantized. Time dependence is in the [tex]b, b^{\dagger}[/tex] itself.

    Please let me know
     
  2. jcsd
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