It is shown that K ≥ ⅗μ0 for a system of fermions. K is 〈P2/2m〉, and μ0 is the Fermi energy of an ideal gas of fermions of the same mass, and at the same density, as the system under consideration.
REFERENCES
1.
J. W. Gibbs, The Collected Works (Yale University Press, New Haven, Connecticut, 1948), Vol. II, p. 131, Theorem III. Naturally, Gibb’s proof is only for classical systems.
2.
N. N. Bogoliubov (unpublished);
3.
H.
Falk
, J. Math. Phys.
7
, 977
(1966
). (Penultimate equation, first column, p. 978, with ).4.
5.
F. London, Superfluids, (John Wiley & Sons, Inc., New York, 1954), Vol. II, p. 165.
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© 1967 The American Institute of Physics.
1967
The American Institute of Physics
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