The Relation Between One—to—One Correspondent Orthonormal Eigenstates of H^0 and H(λ)=H^0+λV

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The relation between one-to-one correspondent orthonormal eigenstates of H0 and H(λ) = H0 + λV is carefully studied with general perturbation theory. Attention is particularly paid to the analyticity and its local destruction due to nonlinear resonance. N
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