Construction of quasiclassical approximation for transport coefficients in linear response theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 414-422

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The quantum expression for the static conductivity is expanded in powers of $\hbar$. The result is readily generalized for expansions in powers of $\hbar$ of the coefficients of viscosity and thermal conductivity. The expansion coefficients are represented in the form of time integrals, averaged over the classical Gibbs distribution, of the derivatives of the potential along the classical paths of the system. The result is given in a form convenient for calculation by the method of molecular dynamics.
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     author = {A. N. Lagar'kov and V. M. Sergeev},
     title = {Construction of quasiclassical approximation for transport coefficients in linear response theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. N. Lagar'kov; V. M. Sergeev. Construction of quasiclassical approximation for transport coefficients in linear response theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 414-422. http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a11/