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Fall semester:

• Lecture 1: The harmonic oscillator and semiquantitative reasoning
• Lecture 2: More semiquantitative reasoning: the dispersion relation of water waves
• Lecture 3: Second quantization for bosons
• Lecture 4: Phonons
• Lecture 5: Phonons, Goldstone modes, the Bose distribution
• Lecture 6: Second quantization for fermions
• Lecture 7: The Boltzmann, Fermi-Dirac, and Bose-Einstein distributions from entropy maximization
• Lectures 8+9: Tight binding
• Lecture 10: Electric current in a clean electron band: Bloch oscillations
• Lecture 11: Tight binding in 2D, Brillouin zones
• Lecture 12: The two-atom chain and Peierls distortion
• Lecture 13: The tight binding model of graphene
• Lecture 14-15: Life with zero mass
• Lecture 16: Overview of solid materials, the specific heat of metals
• Lecture 17-18: Conductivity, density of states, and quasiparticle excitations in metals
• Lecture 19: Properties of insulators: resistivity and chemical potential
• Lecture 20: Doping, mobility edge, phonon specific heat, electrical resistance of nodal semimetals
• Lecture 21: Diffusion and the conductivity tensor
• Lecture 22: The Hall effect
• Lecture 23: Berry curvature and anomalous velocity
• Lecture 24: Berry curvature monopoles, Weyl semimetals, the anomalous Hall effect
• Lecture 25: Quantum Anomalous Hall effect, Quantum Spin Hall effect, Berry curvature in gapped graphene
• Lecture 26-27: Ballistic conductance

Spring semester:

• Lecture 1: Weak localization in 3D
• Lecture 2: Weak localization in 1D and 2D
• Lecture 3: The Anderson model and Anderson localization
• Lecture 4: Mott insulators, the Hubbard model, and the doping-induced insulator-to-metal transition
• Lecture 5: Electron-electron interactions, the Hartree approximation, the exchange interaction
• Lecture 6: The Hartree-Fock approximation
• Lecture 7: Hartree-Fock for the jellium model, Wigner crystallization
• Lecture 8: Fermi liquid theory
• Lecture 8′: Magnetization, canonical momentum, the Bohr-van Leeuwen theorem
• Lecture 9: (Quantum) magnetic moments
• Lecture 10: Isolated magnetic moments: Paramagnetism, diamagnetism, and magnetic susceptibility
• Lecture 11: Hund’s rules, the exchange constant, the DM interaction
• Lecture 12: Origin of antiferromagnetism in the Hubbard model
• Lecture 13: Pauli paramagnetism, Landau levels, Landau diamagnetism
• Lecture 14: Landau levels in the symmetric and Landau gauge
• Lecture 15: Phenomenology of the Quantum Hall effect, localization of Landau level states
• Lecture 16: Quantum Hall edge states
• Lecture 17: Longitudinal resistance of the Quantum Hall effect, QHE in the Corbino geometry, the TKNN invariant
• Lecture 18-19: The fractional QHE: experimental phenomenology, composite fermions, the half-filled Landau level
• Lecture 20: Fractionalized excitations
• Lecture  21+: Introduction to quantum entanglement, random unitary circuits, and the measurement-induced entanglement phase transition

Additional Lecture Notes:

• The doping-induced metal-insulator transition and the field effect transistor
• The p-n junction
• Phase transitions: Landau theory, upper critical dimension
• Percolation
• The Kosterlitz-Thouless transition
• Absence of long-range order: lower critical dimension, Mermin-Wagner theorem, Imry-Ma argument

Update: as of August 2023 the video recordings of the lectures no longer exist; the University’s zoom license is such that recordings are deleted after 120 days. Please do not write to me asking for access to the lecture recordings. I don’t have them anymore. 🙁

Lecture 1: Electric Charge and Force; conductors, insulators, and Coulomb’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 2: Coulomb’s Law

• Recording, pre-lecture notes, post-lecture notes

Lecture 3: Electric field and electric force

• Recording, pre-lecture notes, post-lecture notes

Lecture 4: Electric fields from continuous charge

• Recording, pre-lecture notes, post-lecture notes

Lecture 5: Electric fields and electric flux

• Recording, pre-lecture notes, post-lecture notes

Lecture 6: Gauss’s Law

• Recording, pre-lecture notes, post-lecture notes

Lecture 7: Applications of Gauss’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 8: Gauss’s law and electrical conductors

• Recording, pre-lecture notes, post-lecture notes

Lecture 9: Electric potential

• Recording, pre-lecture notes, post-lecture notes

Lecture 10: Electric potential energy

• Recording, pre-lecture notes, post-lecture notes

Lecture 11: Electric potential from continuous charge

• Recording, pre-lecture notes, post-lecture notes

Lecture 12: Capacitors and energy storage

• Recording, pre-lecture notes, post-lecture notes

Lecture 13: Capacitor networks

• Recording, pre-lecture notes, post-lecture notes

Lecture 14: Electric current and electric power

• Recording, pre-lecture notes, post-lecture notes

Lecture 15: Resistance and resistivity

• Recording, pre-lecture notes, post-lecture notes

Lecture 16: Kirchoff’s rules

• Recording, pre-lecture notes, post-lecture notes

Lecture 17: RC circuits

• Recording, pre-lecture notes, post-lecture notes

Lecture 18: Magnetic fields and forces

• Recording, pre-lecture notes, post-lecture notes

Lecture 19: Magnetic moments & torques

• Recording, pre-lecture notes, post-lecture notes

Lecture 20: Magnetic fields and forces from currents; Ampère’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 21: Applications of Ampère’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 22: Lenz’s law and Faraday’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 23: Applications and integral form of Faraday’s law

• Recording, pre-lecture notes, post-lecture notes

Lecture 24: Inductors and R-L circuits

• Recording, pre-lecture notes, post-lecture notes

Lecture 25: Magnetic energy, LC and RLC circuits

• Recording, pre-lecture notes, post-lecture notes

Lecture 26: Waves on a string

• Recording, pre-lecture notes, post-lecture notes

Lecture 27: Sound waves

• Recording, pre-lecture notes, post-lecture notes

Lecture 28: Wave interference

• Recording, pre-lecture notes, post-lecture notes

Lecture 29: Boundary conditions and resonances

• Recording, pre-lecture notes, post-lecture notes

Lecture 30: Sound waves and beats

• Recording, pre-lecture notes, post-lecture notes

Lecture 31: Maxwell’s equations and electromagnetic waves

• Recording, pre-lecture notes, post-lecture notes

Lecture 32: Energy of EM waves and polarization

• Recording, pre-lecture notes, post-lecture notes

Lecture 33: Reflection and refraction

• Recording, pre-lecture notes, post-lecture notes

Lecture 34: Light interference

• Recording, pre-lecture notes, post-lecture notes

Lecture 35: Single slit diffraction and optical resolution

• Recording, pre-lecture notes, post-lecture notes

Lecture 36: Thin film interference

• Recording, pre-lecture notes, post-lecture notes

Lecture 37: Photons and the photoelectric effect

• Recording, pre-lecture notes, post-lecture notes

Lecture 38: The de Broglie wavelength and the uncertainty principle

• Recording, pre-lecture notes, post-lecture notes

Lecture 39: Quantized energy levels: particle in a box and the Bohr model of the atom

• Recording, pre-lecture notes, post-lecture notes

Lecture 40: Energy levels and light absorption

• Recording, pre-lecture notes, post-lecture notes

Lecture 41: Electronic shell structure and the periodic table

• Recording, pre-lecture notes, post-lecture notes

 

Practice midterm 1 and solutions

Final exam practice problems,

solutions, recording 1, recording 2