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Spectrum of Three-level (with Two Non-Resonance States) Localized Quasi-particle Renormalized Due to the Interaction with Polarization Phonons at Cryogenic Temperature

The new method of calculation of a mass operator of Fourier image of Green's function, based at the generalized method of Feynman-Pines diagram technique for the multi-level systems, is proposed for the system of three-level localized quasiparticle interacting with polarization phonons at T=0K. The main class of diagrams, studied in this approach, made it possible to renormalize the mass operator and present it in a form of continuous branch chain fraction with typical chains. It allows effective accounting of multi-phonon processes. It is shown that the complicated complexes of bound-to-multi-phonons states of quasi-particle are observed in the energy spectrum of the system under research.