Abstract The quantum theory of renormalized energy spectrum of the system of localized two-level quasiparticle, with degenerated spectrum, interacting with polarization phonons, being the model of multilayered nanostructure, is developed within the modified Feynman-Pines diagram technique. Effectively taking into account the multi-phonon processes, the theory is valid in a wide range of energies which contains the main states and the satellite groups of energies produced by the resonant bound-to-phonons states of quasiparticle in the vicinity of the threshold energies of their radiation. The properties of renormalized spectrum of the system are analyzed and dependences of the widths of groups of energy levels (main and satellite) on the magnitudes of inter-level coupling constants are obtained.

中文翻译：

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简并激发态偏振声子定域准粒子相互作用重整化谱的性质

摘要 具有简并谱的局域两能级准粒子系统的重整化能谱量子理论是多层纳米结构模型，是在修正费曼-派恩斯图技术的基础上发展起来的。有效地考虑到多声子过程，该理论在很宽的能量范围内是有效的，其中包含主要状态和由准粒子在阈值能量附近的共振束缚声子状态产生的能量的卫星群他们的辐射。分析了系统重归一化谱的性质，得到了能级组（主能级和卫星能级）的宽度对能级间耦合常数大小的依赖性。