  Relativistic quantum transport theory has begun to play an important role in
the space-time description of matter under extreme conditions of high energy
density in out-of-equilibrium situations. The following introductory lectures
on some of its basic concepts and methods comprise the sections: 1.
Introduction; 2. Aims of transport theory (classical); 3. Quantum mechanical
distribution functions - the density matrix and the Wigner function; 4.
Transport theory for quantum fields; 5. Particle production by classical
fields; 6. Fluid dynamics of relativistic quantum dust.
