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Woit · 2025-10-20
已登记出处中的最早位置：§27 · zh-CN。
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§27 · zh-CN · machine_draft · machine-draft-not-reviewed
本章通过对谐振子研究方法的一种简单变体，引入新的量子系统：把对易子换成反对易子。所得系统称为“费米子振子(fermionic oscillator)”，而原来的谐振子有时称为“玻色子振子”。这些名称来自第9章阐述的原理：多个全同粒子的张量积态，对于玻色子是对称的，对于费米子是反对称的。
§27 · en · machine_draft · machine-draft-not-reviewed
27 The Fermionic Oscillator
In this chapter we’ll introduce a new quantum system by using a simple variation on techniques we used to study the harmonic oscillator, that of replacing commutators by anticommutators. This variant of the harmonic oscillator will be called a “fermionic oscillator”, with the original sometimes called a “bosonic oscillator”. The terminology of “boson” and “fermion” refers to the principle enunciated in chapter 9 that multiple identical particles are described by tensor product states that are either symmetric (bosons) or antisymmetric (fermions).