Investigation of the exciton-phonon interaction in nanoheterosystems by the infinite branching integral fraction method

The exciton-phonon interaction in the complicated spherical nanoheterosystems is studied within the method of the infinite branching integral fraction for the calculation of Green functions. The exact analytic expression for the mass operator of quasiparticles interacting with all phonon modes of the system is obtained. The reasons of the non-linear dependence of the exciton basic energy level shift due to the interaction with the polarization phonons in the spherical CdS/β-Hg S/H2O nanoheterosystems on the β-Hg S core thickness are established