On the method of collective variables in the statistical theory of fermi systems of charged particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 118-129

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A representation is obtained for the partition function in the form of a differential operator acting in the space of collective variables $\rho_{km}$ on an exponential with potential energy expressed in these variables. A quantum generalization of the virial expansion is constructed on the basis of this representation. The second virial coefficient is calculated for a nondegenerate gaslike plasma to $e^6$. Degeneracy effects in plasmas are considered near the classical limit $(\lambda/\beta e^2\ll1)$. An expression is found for the electron part of the energy of a metal in the form of a series in the electron-ion interaction.
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     author = {G. I. Bigun},
     title = {On the method of collective variables in the statistical theory of fermi systems of charged particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {118--129},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a10/}
}
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G. I. Bigun. On the method of collective variables in the statistical theory of fermi systems of charged particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 118-129. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a10/