V2EX pseudovector

Pseudovector

定义 Definition

pseudovector(伪矢量/轴矢量):在空间反演(把坐标从 \((x,y,z)\) 变为 \((-x,-y,-z)\))下,变换方式与普通矢量不同的一类“像矢量的量”。常见例子有角动量转矩(力矩)、以及由两个矢量叉乘得到的量。它也常被称为 axial vector(轴矢量)

发音 Pronunciation (IPA)

/sudovktr/

例句 Examples

Angular momentum is a pseudovector in three-dimensional space.
角动量在三维空间中是一个伪矢量。

Under spatial inversion, a pseudovector keeps its direction while an ordinary vector reverses, which helps distinguish torque from force.
在空间反演下,伪矢量保持方向而普通矢量会反向,这有助于区分转矩(力矩)与力。

词源 Etymology

pseudo- 来自希腊语 pseudes,意为“假的、表面的”;vector 来自拉丁语 vector,意为“搬运者”。合起来 pseudovector 字面意思是“看起来像矢量但变换性质不同的量”,强调它在对称变换(尤其是反演)下的“特殊”行为。

相关词 Related Words

文学与著作 Literary Works

  • Classical Electrodynamics J. D. Jackson(在讨论场的对称性、叉乘与变换性质时会涉及伪矢量/轴矢量概念)
  • Introduction to Electrodynamics David J. Griffiths(在电磁学与向量分析、反演/宇称相关内容中常出现)
  • Mathematical Methods for Physicists Arfken, Weber & Harris(在向量与张量、坐标变换与对称性章节中常用到)
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