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 language | English (US) |
|---|---|
| Pages (from-to) | 687-689 |
| Number of pages | 3 |
| Journal | Physical Review Letters |
| Volume | 35 |
| Issue number | 11 |
| DOIs | |
| State | Published - Jan 1 1975 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Lieb, E. H., & Thirring, W. E. (1975). Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter. Physical Review Letters, 35(11), 687-689. https://doi.org/10.1103/PhysRevLett.35.687