Geodesic
The group-theoretic analysis of the electron-phonon interaction in metals
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 478-496

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A group-theoretical approach to the construction of the dynamics of a uantized many-particle system with trilinear electron-phonon interaction is proposed. Fermion states are introduced by means of coherent states on the orthogonal group; a Grassmann algebra is not used. This changes the computational formalism of perturbation theory. The derivation of integral equations that determine the parameters of the superconducting state of a two-band model of a metal is considered as an example. 
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     author = {L. F. Novikov},
     title = {The group-theoretic analysis of the electron-phonon interaction in metals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {478--496},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a5/}
}
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L. F. Novikov. The group-theoretic analysis of the electron-phonon interaction in metals. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 3, pp. 478-496. http://geodesic.mathdoc.fr/item/TMF_1993_95_3_a5/