David Tong: Cambridge Lecture Notes on Theoretical Physics

David Tong: Lectures on Theoretical Physics

Classical Mechanics


Dynamics and Relativity

An introduction to Newtonian Mechanics and Special Relativity, aimed at first year undergraduates.

[Lagrange Points]

Classical Dynamics

A second course on classical mechanics, covering the Lagrangian and Hamiltonian approaches, together with a detailed discussion of rigid body motion.


[Doc Brown's Genius]

Vector Calculus

A course for first year undergraduates, describing integral theorems and all things ∇.



A course on electromagnetism, starting from the Maxwell equations and describing their application to electrostatics, magnetostatics, induction, light and radiation. The course also covers the relativistic form of the equations and electromagnetism in materials.

Quantum Mechanics


Quantum Mechanics

A first course on quantum mechanics, focussing mostly on the Schrödinger equation.


Topics in Quantum Mechanics

An advanced course on quantum mechanics, aimed at final year undergraduates. It covers atomic physics, scattering theory, quantum foundations and a number of other topics.

Condensed Matter Physics


Solid State Physics

An introductory course on solid state physics, aimed at final year undergraduates. It cover the basics of band theory, Fermi surfaces, phonons and particles in magnetic fields.

anyon face

Quantum Hall Effect

An introduction to the quantum Hall effect. The first half uses only quantum mechanics and is at a level suitable for undergraduates. The second half covers more advanced field theoretic techniques of Chern-Simons and conformal field theories.

Fluid Mechanics


Fluid Mechanics

An introduction to fluid mechanics, aimed at undergraduates. The course covers the basic flows arising from the Euler and Navier-Stokes equations, including discussions of waves, stability, and turbulence.

[Rolling Rolling Rolling]

Kinetic Theory

A graduate course on basic topics in non-equilibrium statistical mechanics. It covers kinetic theory and the Boltzmann equation, stochastic processs and linear response.

Statistical Physics


Statistical Physics

An introduction to statistical mechanics and thermodynamics, aimed at final year undergraduates. After developing the fundamentals of the subject, the course covers classical gases, quantum gases and phase transitions.


Statistical Field Theory

An introductory course on phase transitions and critical phenomena, aimed at first year graduate students. The main goal is to get to grips with the renormalisation group.

Gravitation and Cosmology


General Relativity

An introduction to general relativity, aimed at first year graduate students. It starts with a gentle introduction to geodesics in curved spacetime. The course then describes the basics of differential geometry before turning to more advanced topics in gravitation.



An introductory course on cosmology, aimed at final year undergraduates. It covers the expanding universe, thermal history, and structure formation.

Quantum Field Theory


Quantum Field Theory

An introductory course on quantum field theory, aimed at first year graduate students. It covers the canonical quantization of scalar, Dirac and vector fields. Videos are also included.


Gauge Theory

These notes provide an introduction to the fun bits of quantum field theory, in particular those topics related to topology and strong coupling. They are aimed at beginning graduate students and assume a familiarity with the path integral.



A course for advanced graduates students, covering solitons in supersymmetric gauge theories and D-branes. It was given at the TASI summer school.

Particle Physics


Particle Physics

An elementary course on elementary particles. This is, by some margin, the least mathematically sophisticated of all my lecture notes, requiring little more than high school mathematics. The lectures provide a pop-science, but detailed, account of particle physics and quantum field theory. These lectures were given at the CERN summer school.


The Standard Model

A course on particle physics that most definitely uses more than high school mathematics. The lectures describe the mathematical structure of the Standard Model, and explore features of the stong and weak forces. There are also sections on spontaneous symmetry breaking and anomalies.

Supersymmetry and String Theory

super hands

Supersymmetric Quantum Mechanics

A basic course relating supersymmetric quantum mechanics to ideas in geometry, such as Morse theory and the Atiyah-Singer index theorem. It is aimed at first year graduate students.

Superpartners currently unavailable

Supersymmetric Field Theory

An introduction to N=1 supersymmetry in d=3+1 dimensions, aimed at first year graduate students. The lectures describe how to construct supersymmetric actions before unpacking the details of their quantum dynamics and dualities.


String Theory

An introduction to string theory, aimed at first year graduate students. It covers the bosonic string and the basics of conformal field theory.