Hybrid Quantum-Classical Master Equations
  We discuss hybrid master equations of composite systems which are hybrids of classical and quantum subsystems. A fairly general form of hybrid master equations is suggested, its consistency is derived from the consistency of Lindblad quantum master equations. We emphasize that quantum measurement is a natural example of exact hybrid systems. We derive a heuristic hybrid master equation of time-continuous position measurement 
Lajos Di\'osi
quant-ph cond-mat.mes-hall math-ph math.MP