Kinetic theory for quantum plasmas

Quantum plasmas have been studied theoretically for more than four decades. Important early applications include the electron gas in metals and the electron-hole plasma in semiconductors and dimensionally reduced nanostructures. Experiments with lasers and ion beams are now making dense quantum plasmas of electrons and (classical) ions accessible in the laboratory giving rise to increased theoretical activities. In this article we review the basic concepts of quantum kinetic theory in the frame of reduced density operators as well as second quantization which have been very successfully applied to condensed matter systems, nuclear matter and dense plasmas.