28 Weyl and Clifford Algebras

Weyl and Cliford Algebras

We have seen that just changing commutators to anticommutators takes the harmonic oscillator quantum system to a very diferent one (the fermionic oscillator), with this new system having in many ways a parallel structure. It turns out that this parallelism goes much deeper, with every aspect of the harmonic oscillator story having a fermionic analog. We’ll begin in this chapter by studying the operators of the corresponding quantum systems.

中文目录

Chapter contents

• 28.1 The Complex Weyl and Cliford algebras
  • 28.1.1 One degree of freedom, bosonic case
  • 28.1.2 One degree of freedom, fermionic case
  • 28.1.3 Multiple degrees of freedom
• 28.2 Real Cliford algebras
• 28.3 For further reading

Previous chapter: 27 The Fermionic Oscillator

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正文：英文 · OCR 机器稿 · 待校对

核对状态：OCR 机器稿 · 待校对

原书 PDF · 印刷页 311、312、313、314、315、316、317

来源版本：2025-10-20

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