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September 15, 1975Physical Review Letters417 citations

Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter

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ÉLÉlliott H. LiebWTWalter Thirring

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Abstract

We first prove that |e (V) |, the sum of the negative energies of a single particle in a potential V, is bounded above by (415) |V|^5{2}. This, in turn, implies a lower bound for the kinetic energy of N fermions of the form 35 (3{4) }^2{3}^5{3}, where (x) is the one-particle density. From this, using the no-binding theorem of Thomas-Fermi theory, we present a short proof of the stability of matter with a reasonable constant for the bound.

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Cite This Study

Lieb et al. (1975) studied this question.

synapsesocial.com/papers/6a238211b57190d467d32aeehttps://doi.org/10.1103/physrevlett.35.687
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