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

Elliott H. Lieb, Walter E. Thirring

Research output: Contribution to journalArticle

227 Scopus citations

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 (415π) |V|52. This, in turn, implies a lower bound for the kinetic energy of N fermions of the form 35(3π4)230ρ53, where ρ(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.

Original languageEnglish (US)
Pages (from-to)687-689
Number of pages3
JournalPhysical Review Letters
Volume35
Issue number11
DOIs
StatePublished - Jan 1 1975

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter'. Together they form a unique fingerprint.

  • Cite this