Complete nonstationary density matrix of electron-phonon system in the functional integration representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 252-263
E. P. Pokatilov; V. M. Fomin. Complete nonstationary density matrix of electron-phonon system in the functional integration representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 252-263. http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the functional integral representation of the complete wave function of an electronphonon system describing its evolution from an arbitrary initial state, all integrations with respect to the phonon coordinates are performed and the displacements of the centers of the oscillations of the phonon modes are found. A nonstationary density matrix which depends on the electron and phonon coordinates is found for any mixed ensemble of electron-phonon systems.

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

[2] R. Feinman, Statisticheskaya mekhanika, «Mir», 1975

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

[4] K. K. Thornber, R. P. Feynman, Phys. Rev., B1 (1970), 4009

[5] K. K. Thornber, Phys. Rev., B3 (1971), 1929 | DOI

[6] A. A. Klyukanov, E. P. Pokatilov, ZhETF, 60 (1971), 312

[7] A. A. Klyukanov, E. P. Pokatilov, ZhETF, 60 (1971), 1878

[8] E. P. Pokatilov, V. M. Fomin, Phys. Stat. Sol. (b), 73 (1976), 553 | DOI

[9] V. M. Fomin, E. P. Pokatilov, Phys. Stat. Sol. (b), 78 (1976), 831 | DOI

[10] V. M. Fomin, E. P. Pokatilov, Phys. Stat. Sol. (b), 79 (1977), 595 | DOI | MR

[11] R. Feinman, A. Khibs, Kvantovaya mekhanika i integraly po traektoriyam, «Mir», 1968

[12] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika. Nerelyativistskaya teoriya, «Nauka», 1974 | MR

[13] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, «Nauka», 1971 | MR

[14] S. I. Pekar, Issledovaniya po elektronnoi teorii kristallov, Gostekhizdat, 1951

[15] N. N. Bogolyubov, UMZh, 2 (1950), 3 | MR

[16] S. V. Tyablikov, ZhETF, 21 (1951), 377 | MR

[17] Dzh. Reislend, Fizika fononov, «Mir», 1975