The stability problem of a system of charged point particles is discussed, and a number of relevant theorems are proven. The total energy of a system of N particles has a negative lower bound proportional to N53 when no assumption is made on the statistics of the particles. When all particles belong to a fixed number of fermion species, a lower bound exists proportional to N.

Topics
Energy system
1.
M. E.
Fisher
 and
D.
Ruelle
,
J. Math. Phys.
7
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(
1966
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2.
D.
 
Ruelle
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Helv. Phys. Acta.
 
36
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36
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M. E.
Fisher
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4.
L. L.
Foldy
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124
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M.
 
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M.
 
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J. M.
 
Stephen
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79
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W. H.
 
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Foldy
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W. H.
 
Bassichis
,
Phys. Rev.
 
134
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(
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Phys. Rev.
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Another paper concerned with the stability problem, with a point of view closer to ours is:
E.
Teller
,
Rev. Mod. Phys.
34
,
627
(
1962
).
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6.
F. J. Dyson (to be published).
7.
L.
Onsager
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J. Phys. Chem.
43
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189
(
1939
).
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8.
For details, see Ref. 6.
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© 1967 The American Institute of Physics.
1967
The American Institute of Physics
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