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A Recursion Method for Calculating Many‐Particle Green's Functions. Resonant Secondary Radiation and Excitation Spectra in the Exciton Region
Author(s) -
Sherman A. V.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221490237
Subject(s) - exciton , recursion (computer science) , excitation , spectral line , range (aeronautics) , physics , coupling (piping) , scattering , phonon , particle (ecology) , computational physics , quantum mechanics , mathematics , materials science , algorithm , metallurgy , composite material , oceanography , geology
A procedure for calculating many‐particle Green's functions is suggested, which is based on the information supplied by the recursion method. The advantages of the procedure are the possibility of introducing a renormalized energy spectrum of the considered system, exactly definable within the recursion method, into calculations and their relative simplicity. As an illustration of the general method a calculation of a two‐particle Green's function, describing a resonant secondary radiation in the region of a three‐dimensional isolated band of excitons interacting mainly with optical phonons, is carried out. The range of parameters covers the cases of a weak exciton‐phonon coupling and a vibronic exciton. The main attention is paid to the relation of luminescence and scattering components. The obtained spectra are compared with experimental results.