V2EX annihilation operator

Annihilation Operator

Definition / 释义

(量子力学)湮灭算符:一种算符,用来把某个量子态中某一模式(如某个能级、动量态或谐振子模式)的粒子数减少 1。常记作 a;与之相对的是 creation operator(产生算符)

Pronunciation / 发音

/na.le.n p..re.tr/

Examples / 例句

The annihilation operator lowers the number of quanta by one.
湮灭算符把量子数(粒子数)降低一个。

In the harmonic oscillator, applying the annihilation operator to |n gives √n |n1, which is central to ladder-operator methods.
在谐振子模型中,对 |n 作用湮灭算符会得到 √n |n1,这是“阶梯算符法”的核心关系。

Etymology / 词源

annihilation 来自拉丁语 annihilāre,意为“使归于无、使消失”(ad- “向” + nihil “无”),在物理语境中引申为“把一个量子(粒子)从态中‘消去’”。
operator 来自拉丁语 operator(“操作者、执行者”),在数学与物理里指对对象实施某种变换的运算实体”。合起来就形成“执行湮灭(减少粒子数)这一操作的算符”。

Related Words / 相关词

Literary Works / 文学作品

  • Dirac, The Principles of Quantum Mechanics(《量子力学原理》)
  • Sakurai & Napolitano, Modern Quantum Mechanics(《现代量子力学》)
  • Cohen-Tannoudji et al., Quantum Mechanics(《量子力学》)
  • Weinberg, The Quantum Theory of Fields(《量子场论》)
  • Nielsen & Chuang, Quantum Computation and Quantum Information(《量子计算与量子信息》)
  • Scully & Zubairy, Quantum Optics(《量子光学》)
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