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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?

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?

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