Mathematical analysis uncovers the second-order Fréchet derivative of eigenvalues in one-dimensional Schrödinger operators, providing deeper insight into spectral perturbation dynamics.
In this paper, the dependence of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is studied. More precisely, the second-order Fréchet derivative of eigenvalues of one-dimensional Schrödinger operators with point interactions in potentials is presented.
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Li et al. (2026) studied this question.
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