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In this paper, we present an invariant perturbation theory of the adiabatic process based on the concepts of U(1)-invariant adiabatic orbit and U(1)-invariant adiabatic expansion.
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Meisheng Zhao, Jianda Wu, Jianlan Chen, and Yongde Zhang ”Properties of Quantum Geometric Potential in The New Adiabatic Approximation Condition”
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