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Kinetics of Partially Coherent Polaritons in Scmiconductors. Schwinger‐Dyson Equations
Author(s) -
Beloussov I. V.,
Shvera Yu. M.
Publication year - 1990
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.2221590110
Subject(s) - polariton , legendre transformation , physics , legendre polynomials , amplitude , perturbation theory (quantum mechanics) , excited state , perturbation (astronomy) , quantum , quantum mechanics , quantum electrodynamics , mathematical physics , condensed matter physics , thermodynamics
A derivation of the equations is given describing kinetic and dynamic properties of a high density polariton system excited in direct‐gap semiconductors by an external laser field. Keldysh diagram technique for non‐equilibrium processes formulated in terms of functionals is used. Using functional Legendre transformation the Dyson equations are obtained for normal and abnormal connected Keldysh‐Green's functions, which describe quantum fluctuations in the system, as well as for a coherent amplitude of the polariton field. The vertices in the Dyson equations are calculated using perturbation theory.
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