Shvayka A. Many-body dynamics and effects of inelastic scattering in strongly correlated electron systems

The microscopic theory of many-body dynamics in strongly correlated electron systems within the strong coupling approach and dynamical mean field theory is developed. The self-consistent description of the dynamics and thermodynamics of the binary alloy and Hubbard type models and for the one with correlated hopping is built. A scheme of obtaining of the irreducible vertices and dynamical many-body susceptibilities is elaborated. X-ray photoemission spectrum is calculated. The spectral relations for the multitime correlation functions are built and the resonant contributions in the inelastic (Raman) light and x-ray scattering cross-sections are calculated.