Notes
My collected notes. Will be uploaded here when they are in a finalized form.
Classical Mechanics
Newton's laws, Lagrangian, Hamiltonian, phase space, canonical transformations, conservation laws, rigid body dynamics.
Classical Electrodynamics
Charge, electric and magnetic fields, Maxwell's equations, potentials, gauge invariance, radiation, wave propagation.
Quantum Mechanics
Uncertainty principle, Schrödinger's equation, angular momentum, spherical symmetry, spin, perturbation theory.
Statistical Mechanics & Thermodynamics
Microstates, ensembles, partition function, entropy, fluctuations, thermodynamic limit, phase transitions.
Differential Geometry
Manifolds, tangent spaces, metrics, curvature, geodesics, connections, topology, fiber bundles, differential forms.
Classical Field Theory
Lagrangian density, Euler–Lagrange equations, symmetries, Noether's theorem, conserved currents, gauge fields, stress-energy tensor.
General Relativity
Spacetime, metric tensor, curvature, Einstein field equations, geodesics, energy-momentum, black holes.
Nuclear Engineering
Fission, neutron transport, cross-sections, reactor kinetics, fuel cycles, radiation shielding, thermal hydraulics.