Abstract:
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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