Geodesic
Spectral representations for the time correlation functions of noninvariant systems in the theory of nonadiabatic transitions
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 448-458 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The probabilities of vibronic transitions are represented, after elimination of the electron variables, in terms of the time correlation functions of the vibrational subsystem, which is noninvariant with respect to time shifts due to its interaction with the electron subsystem. For the noninvariant vibrational subsystem, a connection is established between the spectral intensities of the correlation functions and the retarded Green's functions; in the harmonic approximation, this connection can be found by solving a singular integral equation. In the framework of the phenomenological approach in which the retarded Green's function of the free vibrational subsystem is assumed to be known, the established connection makes it possible to investigate the influence of mode coupling on the kinetic and spectral characteristics of the system. Some special cases in which the integral equation admits exact solution are considered. 
@article{TMF_1983_57_3_a11,
     author = {A. I. Ivanov and G. S. Lomakin and O. A. Ponomarev},
     title = {Spectral representations for the time correlation functions of noninvariant systems in the theory of nonadiabatic transitions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {448--458},
     year = {1983},
     volume = {57},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a11/}
}
TY  - JOUR
AU  - A. I. Ivanov
AU  - G. S. Lomakin
AU  - O. A. Ponomarev
TI  - Spectral representations for the time correlation functions of noninvariant systems in the theory of nonadiabatic transitions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 448
EP  - 458
VL  - 57
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a11/
LA  - ru
ID  - TMF_1983_57_3_a11
ER  - 
%0 Journal Article
%A A. I. Ivanov
%A G. S. Lomakin
%A O. A. Ponomarev
%T Spectral representations for the time correlation functions of noninvariant systems in the theory of nonadiabatic transitions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 448-458
%V 57
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a11/
%G ru
%F TMF_1983_57_3_a11
A. I. Ivanov; G. S. Lomakin; O. A. Ponomarev. Spectral representations for the time correlation functions of noninvariant systems in the theory of nonadiabatic transitions. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 448-458. http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a11/

[1] Kubo R., Toyozawa Y., Progr. Theor. Phys., 13:2 (1955), 160–179 ; Problemy fiziki poluprovodnikov, IL, M., 1957, 442–465 | DOI | MR

[2] Maradudin A., Defekty i kolebatelnyi spektr kristallov, Mir, M., 1968, 432 pp.

[3] Ovchinnikov A. A., Ovchinnikova M. Ya., ZhETF, 56:4 (1969), 1278–1289

[4] Dogonadze R. R., Kuznetsov A. M., Kinetika khimicheskikh reaktsii v polyarnykh rastvoritelyakh, Itogi nauki. Kinetika, 2, VINITI, M., 1973, 209 pp.

[5] Perlin Yu. E., UFN, 30:4 (1963), 553–595 | DOI | MR

[6] Zubarev D. N., UFN, 71:1 (1960), 71–116 | DOI | MR

[7] Ivanov A. I., Lomakin G. S., Ponomarev O. A., TMF, 41:2 (1979), 273–284 | MR

[8] Ivanov A. I., Ponomarev O. A., Opt. i spektr., 41:5 (1976), 744–751

[9] Gakhov F. D., Cherskii Yu. N., Uravneniya tipa svertki, Nauka, M., 1978, 296 pp. | MR | Zbl

[10] Abrikosov A. A., Gorkov L. P., Dzyaloshinskii I. E., Metody kvantovoi teorii polya v statisticheskoi fizike, GIFML, M., 1962, 444 pp. | MR

[11] Krivoglaz M. A., ZhETF, 25:2 (1953), 191–207

[12] Osadko I. S., ZhETF, 72:4 (1977), 1575–1588