TY - JOUR
T1 - Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
AU - Lieb, Elliott H.
AU - Thirring, Walter E.
N1 - Funding Information:
Work supported by the U. S. National Science Foundation under Grant No. MPS 71-03375-A03 at the Massachusetts Institute of Technology.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1975
Y1 - 1975
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.35.687
DO - 10.1103/PhysRevLett.35.687
M3 - Article
AN - SCOPUS:0001325128
VL - 35
SP - 687
EP - 689
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 11
ER -