Advanced Physics: Quantum Mechanics
A 119-lecture course from the Advanced Physics channel, running from the Hilbert-space formalism through the postulates, angular momentum and spin, approximation methods, scattering theory, the Dirac equation, and second quantization. Blackboard-style derivations worked line by line — a close match for a two-semester graduate sequence.
Regrouped into 11 chapters in course order; the playlist itself runs newest-first. Videos load on click, so the page stays light.
Matrix Representation of Kets, Bras and Operators
Mathematical foundation of quantum mechanics
Hilbert Space
Dimension and basis of a vector space
Square-Integrable Functions: Wave Functions
Dirac Notation
Dirac's Bra-Ket Algebra 1
Dirac's Bra-Ket Algebra 2
Dirac's Bra-Ket Algebra 3
Operator
Linear Operator
Hermitian Operators 1
Hermitian Operators 2
Hermitian Adjoint 1
Hermitian Adjoint 2
Hermitian Adjoint 3
Commutator 1
Commutator 2
Commutator 3
Illustrative Examples in Commutator Algebra
About This Series
The lectures are worked at the blackboard at the pace of a real course, which makes them useful next to the written material here: where a course page states a result, these derive it in full. The scattering and relativistic chapters in particular go further than most undergraduate treatments, into partial-wave analysis, the optical theorem, Dirac matrices, and hole theory.
All content is publicly available on YouTube and belongs to its creator. Watch the full series on the original playlist.