V2EX pauli matrices

Pauli Matrices

定义 Definition

Pauli matrices(泡利矩阵)指量子力学中一组最常用的 3 个 2×2 复矩阵(通常记作 σx、σy、σz),它们是厄米矩阵幺正矩阵,并满足特定的对易/反对易关系。它们常用来表示自旋-1/2 粒子的自旋算符、两能级系统,以及 SU(2) 相关的旋转与对称性。(在更广义语境里也可泛指与泡利矩阵同构的一组生成元。)

发音 Pronunciation (IPA)

/pali metrsiz/

例句 Examples

The Pauli matrices describe the spin of an electron.
泡利矩阵用来描述电子的自旋。

Using Pauli matrices, we can write the Hamiltonian of a two-level system in a compact form.
利用泡利矩阵,我们可以把两能级系统的哈密顿量写成更简洁的形式。

词源 Etymology

“Pauli”来自奥地利-瑞士物理学家 Wolfgang Pauli(沃尔夫冈泡利)的姓氏;“matrix”源自拉丁语 matrix(本义与“母体/来源”相关),在数学中引申为“矩阵”。“Pauli matrices”这一术语用于纪念泡利在量子理论发展中的重要贡献,并与自旋形式主义紧密关联。

相关词 Related Words

文学与经典著作中的出现 Literary Works

  • Wolfgang Pauli 的相关论文与早期量子理论文献(常以 σ 矩阵形式讨论自旋算符与对称性)
  • J. J. Sakurai & Jim Napolitano, Modern Quantum Mechanics(用泡利矩阵系统讲解自旋-1/2 与旋转)
  • David J. Griffiths & Darrell F. Schroeter, Introduction to Quantum Mechanics(在自旋章节中引入并使用泡利矩阵)
  • Claude Cohen-Tannoudji, Bernard Diu, Franck Lalo, Quantum Mechanics(在角动量与自旋表示中频繁出现)
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