Geodesic
Electron-phonon interaction of strong correlated systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 439-451

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The Hubbard–Holstein model after Canonical Lang–Firsov transformation is investigated. Two peculiarities of the model are taken into account: the strong electron correlations and the fact that the hopping of polarons between lattice sites are accompanied by an unrestricted number of phonons. A new diagram technique based on the classification of irreducible multi-particle Green functions is developed. A theorem about the Connected Vacuum diagrams is established and the Dyson equation for the electron Green functions is obtained. 
@article{TMF_1997_111_3_a9,
     author = {V. A. Moskalenko},
     title = {Electron-phonon interaction of strong correlated systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {439--451},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a9/}
}
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V. A. Moskalenko. Electron-phonon interaction of strong correlated systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 439-451. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a9/