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. Free online course in Quantum Field Theory (QFT). 8 parts covering classical field theory, canonical quantization, path integrals, QED, non-Abelian gauge theories, renormalization, the Standard Model,...

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