Quantum Mechanics
Full UofT course (PHYB56, grade A-) plus the Quantum Mechanics for Engineers certificate from UC Berkeley.
Courses: Quantum Mechanics (PHYB56), Quantum Mechanics for Engineers — UC Berkeley
Topics covered
- Schrödinger equation (time-dependent and time-independent)
- Operators, observables, and measurement postulate
- Harmonic oscillator (algebraic and analytic), hydrogen atom
- Angular momentum, spin, and addition of angular momenta
- Perturbation theory (time-independent)
- Dirac bra-ket notation
Mathematical backbone
QM is Linear Algebra applied to infinite-dimensional function spaces — every quantum state is a vector in a Hilbert space, every observable is a Hermitian operator. Deep Mathematics grounding (analysis, functional analysis) makes the formalism precise.
Related: Physics, Linear Algebra, Mathematics