Old Problem Collection
I collected these problems as a young graduate student. I did not write solutions for any of these problems, but many of them are quite good (and challenging). They are organized by rough topic below. Enjoy!
Classical mechanics:
Newtonian mechanics:
Lagrangian and Hamiltonian mechanics:
Harmonic oscillation:
Rigid body motion:
Continuum mechanics:
Elastic solids:
Fluids:
Waves:
Heat transfer:
Electromagnetism:
Magnetostatics:
Electrostatics:
Electrodynamics:
Circuits:
Electromagnetism in matter:
Electromagnetic waves and optics:
Relativistic electromagnetism:
Quantum mechanics:
Countable-dimensional systems:
Schrodinger's wave equation:
Harmonic oscillation:
Angular momentum:
Approximation methods:
Symmetry:
Statistical physics:
Thermodynamics and heat engines:
Ideal gas:
Statistical mechanics:
Quantum statistical mechanics:
Statistical mechanics of electromagnetic radiation:
Disordered systems:
Landau theory:
Critical phenomena:
Random walks and diffusion:
Non-equilibrium statistical physics:
Reaction kinetics:
Complex networks:
Relativity:
Quantum field theory:
Second quantization:
Path integrals:
Fermions:
Gauge theory:
Supersymmetry:
Conformal field theory:
String theory:
Differential equations:
Chaos:
Linear algebra:
Analysis (mathematics):
Group theory:
Topology and geometry:
Probability:
Random variables:
Stochastic processes:
Markov chains:
Information theory:
Quantitative biology: