Geodesic
Calculation of two-time Green's functions for disordered crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 267-276 Cet article a éte moissonné depuis la source Math-Net.Ru

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A scheme is proposed for calculating expressions such as the complex admittance or Fourier transforms of two-time retarded Green's functions for disordered crystals. The calculations are made in terms of functions that are called $z$ functions. In the case of Hamiltonians that do not diagonalize, the $z$ functions of the higher orders are expressed recursively in terms of the $z$ functions of lower orders. As an application, the scheme for solving problems relating to the integrated intensity of local modes in disordered crystals is considered. 
@article{TMF_1979_38_2_a11,
     author = {S. I. Dudkin},
     title = {Calculation of two-time {Green's} functions for disordered crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {267--276},
     year = {1979},
     volume = {38},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a11/}
}
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S. I. Dudkin. Calculation of two-time Green's functions for disordered crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 267-276. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a11/

[1] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 | Zbl

[2] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[3] D. E. McCumber, J. Math. Phys., 5 (1964), 221 | DOI

[4] Yu. A. Tserkovnikov, TMF, 7 (1971), 250

[5] Yu. A. Tserkovnikov, Yu. G. Rudoi, V. I. Lymar, N. M. Plakida, G. Konvent, Dopolnenie k kn.: S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1975 | MR

[6] S. I. Dudkin, Ukr. fizich. zh., 18 (1973), 234

[7] M. A. Lavrentev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, Fizmatgiz, 1958 | MR

[8] M. I. Dykman, M. A. Krivoglaz, Ukr. fizich. zh., 19 (1974), 124

[9] I. P. Ipatova, A. A. Maradudin, A. V. Subashiev, FTT, 11 (1969), 2271

[10] A. E. Hughes, Phys. Rev., 173 (1968), 860 | DOI