Abstract
The derivation of the quantum distribution-function transport equations combines the Liouvillian super-Green's function technique and the lattice Weyl-Wigner formulation of the quantum theory of solids. A generating super-functional is constructed which allows an algebraic and straightforward application of quantum field-theoretical techniques in real time to derive coupled quantum-transport, condensate, and pairwavefunction equations. In optically-excited semiconductors, quantum distributionfunction transport equations are given for phonons, plasmons, photons, and electron-hole pairs and excitons by transforming the Bethe-Salpeter equation into a multi-time evolution equation. The virtue of quantum distribution function is that it allows easy application of ‘device-inflow’ subsidiary boundary conditions for simulating femtosecond device-switching phenomena.