Lenses make many points: Pure point spectrum disproves Simon's L^2 conjecture
AI use, as the source states it
“For every d\ge2 and 0\leσ<1/3, we construct with LLM-assistance a smooth bounded nonnegative lens-type potential V with arbitrarily small \|V\|_\infty+\int_{\mathbb{R}^d}|x|^{1-d+σ}|V(x)|^2 dx, such that -Δ+V has only pure point spectrum in (0,\infty).”
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