On the theory of the conductivity of crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 1, pp. 107-119 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the basis of Kubo's formula, Green's superoperators are used to calculate the electrical conductivity of crystals in the framework of perturbation theory. The proposed method does not require summation of infinite series (in the limit $\omega\rightarrow 0$). The mobility of a Frölich polaron in the case of weak coupling and of a polaron in Feynman's model is considered at low temperatures.
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V. F. Los'. On the theory of the conductivity of crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 1, pp. 107-119. http://geodesic.mathdoc.fr/item/TMF_1984_60_1_a10/

[1] Kohn W., Luttinger J. M., Phys. Rev., 108:3 (1957), 590–612 | DOI | MR

[2] Luttinger J. M., Kohn W., Phys. Rev., 109:6 (1958), 1892–1909 | DOI | MR

[3] Bogolubov N. N., Kinetic Equations for Electron-Phonon Systems, Preprint E17–11822, JINR, Dubna, 1978 | MR

[4] Bogolyubov N. N., Bogolyubov N. N. (ml.), EChAYa, 11:2 (1980), 245–300 | MR

[5] Feynman R. P., Phys. Rev., 97 (1955), 660–665 | DOI | Zbl

[6] Kadanoff L. P., Revzen M., Nuovo Cim., 33 (1964), 397–412 | DOI | MR

[7] Los V. F., Martynenko A. G., TMF, 55:2 (1983), 313–320

[8] Kubo R., J. Phys. Soc. Japan, 12:6 (1957), 570–585 | DOI | MR

[9] Greenwood D. A., Proc. Phys. Soc., 71 (1958), 585–596 | DOI | MR

[10] Chester G. V., Thellung A., Proc. Phys. Soc., 73:473 (1959), 745–766 | DOI | Zbl

[11] Kenkre W. M., Dresden M., Phys. Rev., A6:2 (1972), 769–775 | DOI

[12] Van Royen J., Beleznay F., Devreese J. T., Phys. Stat. Sol. (b), 107:1 (1981), 335–345 | DOI

[13] Fröhlich H., Paranjape B. V., Proc. Phys. Soc., 69 (1956), 21–32 | DOI | Zbl

[14] Feynman R. P., Hellwarth R. W., Iddings C. K., Platzman P. M., Phys. Rev., 127:4 (1962), 1004–1017 | DOI | Zbl

[15] Thornber K. K., Feynman R. P., Phys. Rev., B1:10 (1970), 4099–4114 | DOI

[16] Fröhlich H., Adv. Phys., 3 (1954), 325–351 | DOI

[17] Kadanoff L. P., Phys. Rev., 130:4 (1963), 1364–1369 | DOI | MR

[18] Peeters F. M., Devreese J. T., Phys. Stat. Sol. (b), 115:2 (1983), 539–543 | DOI

[19] Zaiman Dzh., Printsipy teorii tverdogo tela, Mir, M., 1966, 416 pp.

[20] Zaiman Dzh., Elektrony i fonony, IL, M., 1962, 488 pp.

[21] Los V. F., TMF, 39:3 (1979), 393–402 | MR

[22] Fröhlich H., Mott N. F., Proc. Roy. Soc., A171 (1939), 496–512 | DOI

[23] Langreth D. C., Kadanoff L. P., Phys. Rev., A133 (1964), 1070–1075 | DOI