标题： 可求解的共振与衰变模型 显示英文标题

标题： Solvable models of resonances and decays

摘要： 共振和衰变现象在量子世界中无处不在。为了从复杂的角度理解它们，研究可解析模型是有用的，即那些可以通过分析手段处理的系统。 本文综述了这类模型，从经典的 Friedrichs 结果开始，并进一步延伸到量子图理论的最新发展。 我们的注意力集中在共振效应背后的动力学机制以及相关不稳定系统的演化上。 显示英文摘要

摘要： Resonance and decay phenomena are ubiquitous in the quantum world. To understand them in their complexity it is useful to study solvable models in a wide sense, that is, systems which can be treated by analytical means. The present review offers a survey of such models starting the classical Friedrichs result and carrying further to recent developments in the theory of quantum graphs. Our attention concentrates on dynamical mechanism underlying resonance effects and at time evolution of the related unstable systems.