Day 250: Unbounded Operators

Learning Objectives

• •**Define** unbounded operators with proper specification of domains
• •**Distinguish** between closed, closable, and non-closable operators
• •**Differentiate** symmetric, essentially self-adjoint, and self-adjoint operators
• •**Apply** von Neumann's criterion and other self-adjointness tests
• •**Analyze** the position and momentum operators in quantum mechanics
• •**Understand** the spectral theorem for unbounded self-adjoint operators

Today's Schedule (7 hours)