量子健美操：高斯、路径积分与引导数值逼近
Quantum Calisthenics: Gaussians, The Path Integral and Guided Numerical Approximations
摘要：
任何思考过这一问题的人都很清楚，在很大程度上，牛顿物理学的基本概念是相当直观的，但量子力学不是。我这次演讲的目的是向你们介绍一种新的，更直观的方法来理解量子力学是如何工作的。我将这种方法称为指导性数值逼近方案，它基于对路径积分告诉我们的有关希尔伯特空间状态的新认识。我从简单的精确可解模型开始，并展示如何处理无法用解析方法处理的问题，这包括处理非谐势中高斯波包的演化以及隧道问题（即，瞬子效应）
英文摘要：
It is apparent to anyone who thinks about it that, to a large degree, the basic concepts of Newtonian physics are quite intuitive, but quantum mechanics is not. My purpose in this talk is to introduce you to a new, much more intuitive way to understand how quantum mechanics works. I refer to this method as a guided numerical approximation scheme and it is based upon a new look at what the path integral tells us about states in Hilbert space. I begin with simple exactly solvable models and show how to handle problems which cannot be dealt with analytically, this includes the treatment of the evolution of a Gaussian wave-packet in an anharmonic potential as well tunneling problems (i.e., instanton effects)
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
