Day 486: Fermionic Creation and Annihilation Operators

Learning Objectives

• •**Define** fermionic creation ($\hat{c}^\dagger$) and annihilation ($\hat{c}$) operators
• •**Apply** canonical anticommutation relations (CAR): $\{\hat{c}, \hat{c}^\dagger\} = 1$
• •**Derive** the Pauli exclusion principle from anticommutation: $(\hat{c}^\dagger)^2 = 0$
• •**Construct** fermionic Fock states with proper sign conventions
• •**Explain** the ordering convention and its physical significance
• •**Preview** the Jordan-Wigner transformation for mapping fermions to qubits

Today's Schedule (7 hours)