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On the interpretation of a correlator with different definite states

  1. Jul 25, 2012 #1
    Hello everyone, I was reading Ashos Das book on field theory, chapter 4.3, and I had this question.

    This expression:

    \begin{equation} \left< \psi_f | \psi_i \right> \end{equation}

    is the transition amplitude of two states.

    This expression:

    \begin{equation} \frac{ \left< \psi|T(U_1...U_n)|\psi \right>}{\left< \psi | \psi \right>} =\left< T(U_1...U_n) \right> \end{equation}

    is the expectation value of the operators U when used in that state (for example, the ground state).

    But what does it would mean?

    \begin{equation} \frac{ \left< \psi_f|T(U_1...U_n)|\psi_i \right>}{\left< \psi_f | \psi_i \right>} \end{equation}

    I though that maybe is the expectation value of the operators U IF after the measure the state changes from the state 1 to the state 2.

    Does anyone have seen that formula in another books or knows that does it means?
     
  2. jcsd
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