Abstract
By following a strategy introduced in previous works, quantum extensions of the classical electron-phonon scattering operator are deduced from first principles. These quantum collision operators satisfy a quantum H-theorem and relax towards quantum equilibria. Then, under an assumption of dominant elastic interactions, a hierarchy of quantum spherical harmonic expansion (SHE) models is derived by a diffusive approximation of collisional Wigner equations. These models are proven entropic and their expansions into powers of the reduced Planck constant are calculated, leading to 2 corrections for the classical SHE model.
Original language | English (US) |
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Article number | 043302 |
Journal | Journal of Mathematical Physics |
Volume | 47 |
Issue number | 4 |
DOIs | |
State | Published - 2006 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics