逐字来源、作者主张与候选译文分别保留。工程核验不批准 OCR、译文或数学正确性。

概念与作者路径

第12章自旋–统计陈述(既有种子)

作者陈述整数自旋态交换对称,半整数自旋态交换反对称。

条件与约定:相对论与量子力学结合的语境;仅作者陈述,不等于已核验证明。

逐字作者来源与版本
One of the most profound consequences of merging special relativity with quantum mechanics is the spin-statistics theorem: states with identical particles of integer spin are symmetric under the interchange of the particles, while states with identical particles of half-integer spin are antisymmetric under the interchange of the particles. This is equivalent to the statement that the creation and annihilation operators for integer spin particles satisfy canonical commutation relations, while creation and annihilation operators for half-integer spin particles satisfy canonical anticommutation relations. Particles quantized with canonical commutation relations are called bosons, and satisfy Bose-Einstein statistics, and particles quantized with canonical anticommutation relations are called fermions, and satisfy Fermi-Dirac statistics.

PDF 文件页:99;OCR 未因此获得逐页核验。

后文使用:§13 自旋–统计回顾与反对易关系。