标题： 瞬子与量子力学中的蒙特卡罗方法 显示英文标题

标题： Instantons and Monte Carlo Methods in Quantum Mechanics

摘要： 在这些讲座中，我们描述了蒙特卡洛模拟在理解量子力学模型中隧穿事件和瞬子作用中的应用。 我们特别研究了在QCD背景下使用的一系列方法，例如配分函数的蒙特卡洛模拟、冷却和加热、随机和相互作用瞬子液体模型，以及半经典近似非高斯修正的数值模拟。 显示英文摘要

摘要： In these lectures we describe the use of Monte Carlo simulations in understanding the role of tunneling events, instantons, in a quantum mechanical toy model. We study, in particular, a variety of methods that have been used in the QCD context, such as Monte Carlo simulations of the partition function, cooling and heating, the random and interacting instanton liquid model, and numerical simulations of non-Gaussian corrections to the semi-classical approximation.