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Frank, Ari Laptev, Timo Weidl, Schrodinger Operators: Eigenvalues and Lieb-Thirring Inequalities, Cambridge University Press, 2022","review_link":"https://doi.org/10.1017/9781009218436","review_verified":"true","summary":"The Lieb-Thirring inequality bounds the total binding energy of all bound states in a potential well by a simple integral of the potential, and it is a key step in proving that ordinary matter does not collapse. The best numerical constant in this bound is still unknown in three dimensions.","title":"Sharp constants in Lieb-Thirring inequalities","topic_ref":null,"why":"The sharp constant fixes how closely the semiclassical Thomas-Fermi picture bounds the kinetic energy of many fermions, which enters every quantitative stability-of-matter 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