Day 251: Stone's Theorem and Unitary Groups

Learning Objectives

• •**Define** strongly continuous one-parameter unitary groups
• •**State and prove** Stone's theorem (both directions)
• •**Construct** the generator of a unitary group
• •**Derive** the Schrödinger equation from Stone's theorem
• •**Apply** Stone's theorem to quantum mechanical systems
• •**Compute** time evolution for specific Hamiltonians

Today's Schedule (7 hours)