| 戴 琦1，陈子维1∗，华邦辉1，陈相松2,1∗.角动量和赝角动量的拓展讨论（英文）[J].海南师范大学学报自科版,2024,37(1):14-19 |
| 角动量和赝角动量的拓展讨论（英文） |
| More on Difference between Angular Momentum and Pseudo-angular Momentum |
| |
| DOI：10.12051/j.issn.1674-4942.2024.01.002 |
| 中文关键词: 角动量; 赝角动量; 转动对称; 弹性波; 电磁波 |
| 英文关键词: angular momentum; pseudo-angular momentum; rotation symmetry; elastic wave; electromagnetic wave |
| 基金项目:国家自然科学基金项目（11535005） |
|
| 摘要点击次数: 134 |
| 全文下载次数: 58 |
| 中文摘要: |
| 的“牛顿”动量
R d
摘 要 : 本文拓展了场论中对角动量与赝角动量区别的讨论，指出在 Streib 文章中经常提及的
角动量表达式只适合于非线性系统，同时给出了 Navier-Cauchy 方程所描述的线性弹性系统所对应
的转动对称性以及角动量表达式。通过把研究弹性波的方法运用于电磁理论，本文认为光场角动
量的正则表达式和 Belinfante 表达式实际为赝角动量。最后，得到了自由电磁波在真空传播过程中
3
xE 和角动量 R d
3
x(r × E) 。 |
| 英文摘要: |
| We extend the discussion on the difference between angular momentum and pseudo-angular momentum in field
theory. We show that the often quoted expressions in the paper of Streib only apply to a non-linear system, and derive
the correct rotation symmetry and the corresponding angular momentum for a linear elastic system governed by NavierCauchy equation. By mapping the concepts and methods for the elastic wave into electromagnetic theory, we argue that the
renowned canonical and Benlinfante angular momentum of light are actually pseudo-angular momentum. Then, we derive
the "Newtonian" momentum ∫
d
3
xE and angular momentum ∫
d
3
x(r × E) for a free electromagnetic wave, which are
conserved quantities during propagation in vacuum. |
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