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: