V2EX lorentz invariant

Lorentz Invariant

定义 Definition

Lorentz invariant(洛伦兹不变量/洛伦兹不变的):指在洛伦兹变换(不同惯性参考系之间的时空坐标变换)下数值或形式保持不变的量或物理规律。它是狭义相对论与现代场论中的核心概念。(在不同语境下也可作形容词:a Lorentz-invariant theory“一个洛伦兹不变的理论”。)

发音 Pronunciation (IPA)

/lrnts nvrint/

例句 Examples

A Lorentz-invariant quantity has the same value in all inertial frames.
洛伦兹不变量在所有惯性参考系中的数值都相同。

The action is constructed to be Lorentz invariant so the equations of motion respect special relativity.
该作用量被构造为洛伦兹不变,从而使运动方程符合狭义相对论。

词源 Etymology

Lorentz 来自荷兰物理学家 Hendrik Antoon Lorentz(亨德里克安东洛伦兹),其名字与描述时空坐标在不同惯性系间变换的“洛伦兹变换”相关;invariant 源自拉丁语 *in-*(不)+ variant(变化的),合起来表示“在洛伦兹变换下不改变”。这一短语随相对论与20世纪场论的发展而广泛固定使用。

相关词 Related Words

文学与名著用例 Literary Works

  • Einstein, Relativity: The Special and the General Theory(《相对论:狭义与广义》)中讨论相对论原则与不变量思想(常以“不变性/协变性”表述)。
  • Weinberg, The Quantum Theory of Fields(《量子场论》)中大量使用 Lorentz invariant 来描述拉格朗日量/作用量的对称性要求。
  • Peskin & Schroeder, An Introduction to Quantum Field Theory(《量子场论导论》)中用 Lorentz-invariant 约束可写下的相互作用项与散射振幅形式。
  • Jackson, Classical Electrodynamics(《经典电动力学》)中以洛伦兹协变/不变的方式表述电磁场方程与相关不变量。
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