Geodesic
Theory of a degenerate Fermi gas in an external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 239-245 
È. È. Shnol'. Theory of a degenerate Fermi gas in an external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 239-245. http://geodesic.mathdoc.fr/item/TMF_1970_4_2_a9/
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     title = {Theory of a~degenerate {Fermi} gas in an~external field},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The variation in the density $\delta\rho(x,E)$ of a degenerate ideal Fermi gas is found for the case of a localized variation of an external field $V(x)$. It is shown that the continuous dependence of $\delta\rho$ on $\delta V$ is not violated if discrete levels far from the Fermi level $E$ arise (or disappear). In particular, if there is ,an energy gap $(E_1, E_2)$ and $E_1, the occurrence of discrete levels does not reduce the rate of exponential decrease of $\delta\rho(x,E)$ as $|x|\to\infty$.

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