Operators in terms of quantum field operators

Опубликовано: 17 Март 2026
на канале: Professor M does Science
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📝 Problems+solutions:
Quantum field operators: https://professorm.learnworlds.com/co...
Second quantization: https://professorm.learnworlds.com/co...

📚 The basic building blocks of quantum field theory are the quantum field operators that describe the creation and annihilation of particles in space. As such, in quantum field theory we often need to write down general operators, such as the Hamiltonian operator, in terms of these quantum field operators. In this video, we discuss how to write general operators in terms of quantum field operators.

0:00 Introduction
0:35 Quantum field operators
3:28 One-body operators in terms of field operators
10:06 Two-body operators in terms of field operators
13:22 Operators interpreted as scattering of particles
15:38 The case of particles with spin
17:13 Example: local density operator
20:43 Wrap-up

⏮️ BACKGROUND
Quantum field operators:    • Quantum field operators  
Commutators and anticommutators of field operators:    • Commutators and anticommutators of field o...  
Second quantization:    • Second quantization  

⏭️ WHAT NEXT?
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