Calculation of two-time Green's functions for disordered crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 267-276

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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},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1979},
     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/