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Abstract. We prove a new lower bound on the indirect Coulomb energy in two dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb-Solovej-Yngvason bound with a smaller constant, C = (4/3).27, which also involves an additive gradient energy term of the single particle density.

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Selection and peer-review under responsibility of the scientific committee of the 12th Int. Conf. on Applied Energy (ICAE2020).

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