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On the Emergence of Discrete Spectrum for Weakly Disordered Schrödinger Operators
We investigate the spectral properties of the Anderson operator perturbed by a localized negative potential, \(-V\). Specifically, we analyze the random Schrödinger operator defined by \(H = -Δ+\ve \sum_{n} ω_n χ_n - V\), where the unperturbed operator exhibits a disordered energy landscape. Our pri
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