Day 484: Occupation Number Representation

Learning Objectives

• •**Explain** the motivation for second quantization and contrast with first quantization
• •**Define** Fock space as a direct sum of N-particle Hilbert spaces
• •**Construct** occupation number states |n₁, n₂, n₃, ...⟩
• •**Apply** the number operator to extract occupation numbers
• •**Derive** properties of occupation number basis states
• •**Connect** second quantization notation to symmetrized wave functions

Today's Schedule (7 hours)