Standard syllabus
Mathematical physics · Graduate · Math
Topics
Classical mechanics and variational principles
- Lagrangian and Hamiltonian formulations
- Legendre transform and canonical equations
- Poisson brackets and symmetries
- Noether's theorem and conserved quantities
- Integrable systems (introduction)
Quantum mechanics (mathematical)
- Hilbert spaces and self-adjoint operators
- Spectral theorem and functional calculus
- Schrödinger and Heisenberg pictures
- Path integrals (introduction)
- Perturbation theory for quantum systems
PDEs and special functions in physics
- Heat, wave, and Schrödinger equations
- Green's functions and fundamental solutions
- Bessel, Legendre, and Hermite functions in separation of variables
- Distribution theory for physics (Dirac delta, introduction)
- Scattering theory (introduction)
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$1,162 · Mathematical physics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.