带电三体问题中的碰撞态和疤痕效应
Collision states and scar effects in charged three-body problems
摘要：
半经典方法在经典系统和量子系统之间架起了一座桥梁。在这方面发现的一个有趣的现象是疤痕效应，由此能量本征态显示类似于不稳定周期轨道路径的增强结构。本文讨论周期介质中带电三体问题中的碰撞态，这些碰撞态被不稳定的经典轨道所破坏。疤痕效应具有潜在的实际应用，因为对应于零测量经典配置的轨道可以达到和稳定的共振激发。例如，它可以用来诱导不稳定构型所有利于的反应。
英文摘要：
Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby energy eigenstates display enhancement structures resembling the path of unstable periodic orbits. This paper deals with collision states in charged three-body problems, in periodic media, which are scarred by unstable classical orbits. The scar effect has a potential for practical applications because orbits corresponding to zero measure classical configurations may be reached and stabilized by resonant excitation. It may be used, for example, to induce reactions that are favoured by unstable configurations.
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