Fock Space

Quantum Field Theory · Part 2

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Table of Contents

  1. 1.3.1 What is Fock Space?
  2. 2.3.2 The Vacuum State
  3. 3.3.3 One-Particle States
  4. 4.3.4 Multi-Particle States
  5. 5.3.5 Occupation Number Representation
  6. 6.3.6 Algebra of Creation/Annihilation
  7. 7.3.7 Completeness Relation
  8. 8.🎯 Key Takeaways

Key Equations

$$\mathcal{F} = \mathcal{H}_0 \oplus \mathcal{H}_1 \oplus \mathcal{H}_2 \oplus \cdots = \bigoplus_{n=0}^\infty \mathcal{H}_n$$
$$|\mathbf{k}\rangle = \hat{a}_k^\dagger |0\rangle$$
$$|\mathbf{k}_1, \mathbf{k}_2\rangle = \hat{a}_{k_1}^\dagger \hat{a}_{k_2}^\dagger |0\rangle$$
$$|\mathbf{k}_1, ..., \mathbf{k}_n\rangle = \hat{a}_{k_1}^\dagger \cdots \hat{a}_{k_n}^\dagger |0\rangle$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Field Theory course on CoursesHub.World. A comprehensive graduate-level course in quantum field theory. Covers classical field theory, canonical quantization, path integrals, gauge theories, renormalization, the Standard Model, and advanced ...

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