论文标题
反对称：基本面和应用
Antisymmetry: Fundamentals and Applications
论文作者
论文摘要
对称是理解我们的物理世界的基础。反间对称操作在两个特征的两个不同状态之间进行切换，例如两个时间范围，位置，电荷状态，旋转状态，化学物种等。本综述涵盖了反对称性的基本概念，并侧重于四个反对称性，均在空间反转中，对点组，时间逆转，扭曲，扭曲，扭转逆转和婚姻。提出了时间逆转的经典机械描述之间的区别。这些反对称性在晶体学，衍射，确定特性张量的形式，在过渡状态理论中分类的畸变途径，找到最低能量途径，扩散，磁性结构和特性，铁电和多效性切换，在任意维度和抗抗抗肿性的拓扑中分类。
Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time-states, position-states, charge-states, spin-states, chemical-species etc. This review covers the fundamental concepts of antisymmetry, and focuses on four antisymmetries, namely spatial inversion in point groups, time reversal, distortion reversal and wedge reversion. The distinction between classical and quantum mechanical descriptions of time reversal is presented. Applications of these antisymmetries in crystallography, diffraction, determining the form of property tensors, classifying distortion pathways in transition state theory, finding minimum energy pathways, diffusion, magnetic structures and properties, ferroelectric and multiferroic switching, classifying physical properties in arbitrary dimensions, and antisymmetry-protected topological phenomena are presented.
