论文标题
Lee模型：研究衰减的工具
The Lee model: a tool to study decays
论文作者
论文摘要
我们以教学和详细的方式描述了所谓的Lee模型（与Jaynes-Cummings和Friedrichs模型共享相似之处）是研究不稳定的量子状态/颗粒的工具。该LEE模型基于量子力学（QM），但具有量子场理论（QFT）的某些特征。可以详细研究衰减过程，并可以介绍典型的QFT数量，例如传播器，一环重新召集和Feynman规则。可以在此框架内研究与指数衰减定律以及量子Zeno效应的偏差。生存概率幅度作为能量分布的傅立叶变换，后者的归一化以及Breit-wigner极限，可以通过严格的数学方法获得。
We describe -- in a didactical and detailed way -- the so-called Lee model (which shares similarities with the Jaynes-Cummings and Friedrichs models) as a tool to study unstable quantum states/particles. This Lee model is based on Quantum Mechanics (QM) but possesses some of the features of Quantum Field Theory (QFT). The decay process can be studied in great detail and typical QFT quantities such as propagator, one-loop resummation, and Feynman rules can be introduced. Deviations from the exponential decay law as well as the Quantum Zeno effects can be studied within this framework. The survival probability amplitude as a Fourier transform of the energy distribution, the normalization of the latter, and the Breit-Wigner limit can be obtained in a rigorous mathematical approach.
