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From estimate to proof: certified ground-state energy bounds for singular Schrödinger operators on $R^3$

Liu, Xuefeng
arXiv (All) · Papers
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numerical-analysis
We propose a rigorous computational method that certifies the separator required by Temple's inequality and its Lehmann--Goerisch refinements, and with it unconditional ground-state bounds for $H=-Δ+V$ on $R^3$ with attractive Coulomb singularities. For H$_2^+$ the method certifies $λ_2^{\rm eee}\ge
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