Day 487: Field Operators

Learning Objectives

• •**Define** field operators $\hat{\psi}(\mathbf{r})$ and $\hat{\psi}^\dagger(\mathbf{r})$ in position space
• •**Derive** commutation/anticommutation relations for field operators
• •**Connect** field operators to single-particle wave functions
• •**Express** the particle density operator $\hat{\rho}(\mathbf{r})$ using field operators
• •**Calculate** correlation functions using field operators
• •**Transform** between momentum-space and position-space representations

Today's Schedule (7 hours)