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Connection, horizontal lift, and berry phase

  1. Aug 25, 2010 #1
    i am now reading the PRL paper by simon on berry phase

    under adiabatic approximation, the wave function evolves as

    \langle \psi | d/dt | \psi \rangle=0.

    how to relate this equation to the connection on a fiber bundle?

    how to understand that the wave function is parallel transported?
     
    Last edited: Aug 25, 2010
  2. jcsd
  3. Aug 27, 2010 #2
    Your questions are answered in http://pra.aps.org/abstract/PRA/v43/i3/p1206_1" [Broken].
     
    Last edited by a moderator: May 4, 2017
  4. Aug 27, 2010 #3
    thanks a lot

    i will have a look
     
    Last edited by a moderator: May 4, 2017
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