论文标题
Noether对称的物理意义
Physical Significance of Noether Symmetries
论文作者
论文摘要
在本文中，我们将追踪使用对称性在讨论1918年Emmy Noether发起的运动理论时的开发。尽管它始于其在古典力学中的使用，并已大量用于机械师的工程应用中，但它以相对性，量子理论及其在粒子物理学和现场理论中的相对论融为一体。本文将超出本文的范围，可以详细解释量子场理论的应用，但是理解的基础将在此处提供。我们还将继续讨论一些与Noethy对称性相关的数学发展的见解。
In this paper we will trace the development of the use of symmetry in discussing the theory of motion initiated by Emmy Noether in 1918. Though it started with its use in Classical Mechanics, and has been heavily used in engineering applications of Mechanics, it came into its own in Relativity, and Quantum Theory and their applications in Particle Physics and Field Theory. It will be beyond the scope of this article to explain the Quantum Field Theory applications in any detail, but the base for understanding it will be provided here. We will also go on to discuss an insight from some more mathematical developments related to Noether symmetry.
