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Quantum mechanics, general relativity, classical mechanics, statistical physics, quantum field theory, and astrophysics.
Structural connections linking subfields, mathematical foundations, and courses across disciplines.
Mathematics
Hilbert space vectors, Hermitian operators, spectral decomposition, and unitary evolution in quantum mechanics are formulated directly in the language of linear algebra.
Physics & Cosmology
Relativistic quantum mechanics, creation and annihilation operators, and perturbation theory generalize to Lorentz-invariant quantum fields and gauge interactions.
Hamiltonian phase space, Poisson brackets, action principles, and Noether symmetries in analytical mechanics transition directly into canonical quantization and path integrals.