Theoretical / proof-based
Quantum mechanics I · Undergraduate · Physics
Topics
Operator algebra
- Self-adjoint operators and observable spectra
- Completeness of eigenfunctions in separable systems
- Projection operators and measurement postulates
- Ehrenfest theorem and classical correspondence
- Angular momentum algebra and Clebsch–Gordan (intro)
Symmetry and representations
- Conservation laws from commutators
- Parity and time-reversal symmetry
- Rotation group SO(3) and spinor representations
- Addition of angular momentum
- Landau levels as symmetry example (optional)
Mathematical foundations
- Delta-function potentials and boundary conditions
- Spectral theorem intuition for QM
- Hermitian vs unitary time evolution
- Path integral motivation (Feynman sketch)
- Density matrices and mixed states (intro)
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$60.00 · 60 min · Undergraduate · Online ($60/hr)
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