标题： 混合薛定谔-刘维尔动力学与投影动力学 显示英文标题

标题： Hybrid Schrödinger-Liouville and projective dynamics

摘要： 量子动力学提供了混合动力学最根本的例子之一：只要没有测量发生，系统状态由薛定谔-刘维尔微分方程控制，但当测量发生时，该方程会被中断并被投影动力学取代。 我们展示了如何将这种交替的连续和投影演化形式化为一个改进的状态空间流形上的单一微分方程，从而使其能够接受标准的端口理论分析和控制技术。 显示英文摘要

摘要： Quantum dynamics provides the arguably most fundamental example of hybrid dynamics: As long as no measurement takes place, the system state is governed by the Schr\"odinger-Liouville differential equation, which is however interrupted and replaced by projective dynamics at times when measurements take place. We show how this alternatingly continuous and projective evolution can be cast in form of one single differential equation for a refined state space manifold and thus be made amenable to standard port-theoretic analysis and control techniques.