1
Hilbert Spaces
The Mathematical Arena of Quantum Mechanics
Complex vector spaces, inner products, completeness, Dirac notation, linear operators, and the spectral theorem.
Lessons
1.1
Complex Vector Spaces
1.2
Inner Products and Norms
1.3
Hilbert Space — Completeness
1.4
Orthonormal Bases and Dirac Notation
1.5
Linear Operators and Adjoints
1.6
Spectral Decomposition
Guided instruction and research mentorship are offered separately → hbar.work