V2EX vacuum expectation value

Vacuum Expectation Value

Definition / 定义

vacuum expectation value(真空期望值,常缩写为 VEV):在量子场论中,指某个场或算符在真空态(基态)中的平均值/期望值,通常写作 0||0。它常用来描述真空并非“什么都没有”,而可能具有非零的场值(例如希格斯场的 VEV),并与自发对称性破缺等现象相关。

Pronunciation / 发音

/vk.jum k.spkte.n vl.ju/

Examples / 例句

The Higgs field has a nonzero vacuum expectation value.
希格斯场具有非零的真空期望值。

In quantum field theory, the vacuum expectation value of an operator can determine whether a symmetry is spontaneously broken.
在量子场论中,算符的真空期望值可能决定某种对称性是否发生自发破缺。

Etymology / 词源

vacuum 源自拉丁语 vacuus(“空的”);expectation 来自拉丁语 expectare(“期待、等待”),在数学与物理中引申为“期望(平均)”;value 源自拉丁语 vlere(“有价值、有力量”)。合起来,“vacuum expectation value”字面即“在真空中的期望值”,是20世纪量子理论发展中形成的标准术语。

Related Words / 相关词汇

Literary Works / 文学作品示例

  • An Introduction to Quantum Field Theory(Peskin & Schroeder)
  • The Quantum Theory of Fields(Steven Weinberg)
  • Quantum Field Theory in a Nutshell(A. Zee)
  • Quantum Field Theory(Mark Srednicki)
  • Aspects of Symmetry(Sidney Coleman)
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