Electron, hole and exciton spectra renormalized due to the interaction with phonons in plane nanofilm

The Hamiltonian of electron-phonon interaction in the representation of occupation numbers is obtained within the dielectric continuum model for the phonons and rectangular potentials together with effective masses approximation for the quasi-particles in the nanofilm embedded into semiconductor medium. The renormalized due to phonons ground band bottoms of electron and hole are found within the Green functions method. The contributions of all types of electron-phonon interaction into the magnitude of the energy shift are calculated for the nanofilm with different thicknesses. The energy of electron-hole interaction in the quantum well is evaluated within Bethe variation method. The exciton energy renormalized due to the interaction with phonons in the nanofilm is calculated depending on its thickness.