Geodesic
Distribution of the eigenvalues of the energy operator of a continuous system in quantum statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 132-153 
M. Sh. Goldstein. Distribution of the eigenvalues of the energy operator of a continuous system in quantum statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 132-153. http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the distribution of the eigenvalues of the energy operator of a system of $N$ particles in a region A that interact by means of a two-body potential $\Lambda$ satisfies under certain conditions a Gaussian law in the limit $\Lambda\to\infty$, $|\Lambda|^{-1}N\to\delta$ and small $\delta$.

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