Professor M does Science | Commutators and anticommutators of field operators @ProfessorMdoesScience | Uploaded April 2024 | Updated October 2024, 1 hour ago.
📝 Problems+solutions:
- Second quantization: professorm.learnworlds.com/course/second-quantization
- Quantum field operators: [COMING SOON]

💻 Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1

📚 Quantum field operators are the creation and annihilation operators associated with the position representation. As such, they have the usual properties of general creation and annihilation operators, and in this video we illustrate this by discussing the commutation relations of bosonic field operators and the anticommutation relations of fermionic field operators.

0:00 Introduction
0:45 Quantum field operators
2:57 Bosons: commutation relations
7:40 Fermions: anticommutation relations
8:46 Compact notation for commutators and anticommutators
10:32 Commutators and anticommutators for particles with spin
12:51 Wrap-up

⏮️ BACKGROUND
Quantum field operators: youtu.be/wAo0weNZVgQ
Second quantization: youtube.com/playlist?list=PL8W2boV7eVfnSqy1fs3CCNALSvnDDd-tb

⏭️ WHAT NEXT?
General operators in terms of field operators: youtu.be/pEIf8opLv08
Hamiltonian in terms of field operators: [COMING SOON]
Heisenberg picture for field operators: [COMING SOON]

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Director and writer: BM
Producer and designer: MC