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Polariton Theory of Light Propagation in Crystals I. Connection between the Microscopic Theory of Exciton—Phonon Polaritons and Maxwell Equations
Author(s) -
Glinskii G. F.,
Koinov Z. G.
Publication year - 1989
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.2221550220
Subject(s) - polariton , physics , photon , maxwell's equations , phonon , quantum mechanics , microscopic theory , electron , exciton polaritons , condensed matter physics
The light propagation in a crystal is considered as a polariton propagating through the crystal assuming no polariton damping. With the use of the Legendre transforms a set of nine independent exact equations is derived for the corresponding vertex and Green's functions. All possible correlation and screening effects are included in principle. Knowledge of the solutions of the above equations provide the excitation energies of the quasi‐particles (polaritons) formed by coupling of excitons with photons and phonons. Examination of the poles of the two‐particle electron—hole Green's function leads to an equation for the Bethe‐Salpeter amplitudes, as well as to the microscopic derivation of the Maxwell equations.