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
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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 $\delta$.
@article{TMF_1985_63_1_a9,
author = {M. Sh. Goldstein},
title = {Distribution of the eigenvalues of the energy operator of a~continuous system in quantum statistical mechanics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {132--153},
year = {1985},
volume = {63},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a9/}
}
TY - JOUR AU - M. Sh. Goldstein TI - Distribution of the eigenvalues of the energy operator of a continuous system in quantum statistical mechanics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 132 EP - 153 VL - 63 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a9/ LA - ru ID - TMF_1985_63_1_a9 ER -
%0 Journal Article %A M. Sh. Goldstein %T Distribution of the eigenvalues of the energy operator of a continuous system in quantum statistical mechanics %J Teoretičeskaâ i matematičeskaâ fizika %D 1985 %P 132-153 %V 63 %N 1 %U http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a9/ %G ru %F TMF_1985_63_1_a9
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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