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Quantum Kinetic Equations with Two Particle Correlations Applied to an Exactly Solved Model of Relaxing Electrons
Author(s) -
Wöhler C.,
Schönhammer K.
Publication year - 1997
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 - 10.1002/1521-3951(199711)204:1<362::aid-pssb362>3.0.co;2-z
Subject(s) - electron , physics , relaxation (psychology) , kinetic energy , dispersion (optics) , particle (ecology) , excited state , thermal conduction , quantum mechanics , statistical physics , phonon , quantum , quantum electrodynamics , psychology , social psychology , oceanography , geology
Quantum kinetic equations (QKE) are used for the description of highly excited electrons in the conduction band of semiconductors in the short time regime. The relaxation process is described with QKE in Born approximation and with QKE including two particle correlations. The results of the approximations are compared for different particle densities with the exact solution of a one‐dimensional model of N electrons with linear dispersion interacting with optical phonons. Especially the discussion of the processes contributing to the gain peak allows a better understanding of the approximations.