We demonstrate how one recovers the Boltzmann equation from the quantum kinetic equation by a gradient expansion which holds if the variation of the center-of-mass coordinates is slow compared to that of the relative coordinates. Furthermore, it is necessary for this recovery that the spectral functions are sufficiently sharp.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Boltzmann Limit. In: Quantum Kinetics in Transport and Optics of Semiconductors. Solid-State Sciences, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73564-9_6
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DOI: https://doi.org/10.1007/978-3-540-73564-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73561-8
Online ISBN: 978-3-540-73564-9
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