Pertubation theory for 3x3 matrix

  1. Sep 15, 2013 #1


    User Avatar

    Some one knows a study material to diagonalize a matrix mass for 3 neutral scalar using perturbation theory like \begin{equation}
    2 \lambda_{\phi} v_{\phi}^2 &\lambda_{\phi \sigma } v_{\phi}v_{\sigma} & \lambda_{\phi\eta} v_{\phi} v_{\eta} \\
    \lambda_{\phi \sigma} v_{\phi} v_{\sigma} & 2\lambda_{\sigma} v_{\sigma}^2 & \lambda_{\sigma \eta} v_{\sigma}v_{\eta} \\
    \lambda_{ \phi\eta} v_{\phi} v_{\eta} & \lambda_{\sigma \eta} v_{\sigma} v_{\eta} & 2 \lambda_{\eta} v_{\eta}^2

    \end{array}\right) .
    with $$v_{\phi}\ll v_{\sigma} \ll v_{\eta}$$ to obtain all, mix, eigenvectors. Thanks!
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted
Similar Discussions: Pertubation theory for 3x3 matrix
  1. CKM Matrix (Replies: 10)

  2. Yukawa Matrix (Replies: 1)

  3. Superstring theory (Replies: 5)

  4. CKM Matrix (Replies: 12)