PHYSICS 210: Advanced Mechanics (PHYSICS 110)
Lagrangian and Hamiltonian mechanics. Principle of least action, EulerLagrange equations. Small oscillations and beyond. Symmetries, canonical transformations, HamiltonJacobi theory, actionangle variables. Introduction to classical field theory. Selected other topics, including nonlinear dynamical systems, attractors, chaotic motion. Undergraduates register for
Physics 110 (4 units). Graduates register for
Physics 210 (3 units). Prerequisites:
MATH 131P or
PHYSICS 111, and
PHYSICS 112 or MATH elective 104 or higher. Recommended prerequisite:
PHYSICS 130.
Terms: Aut

Units: 34

Grading: Letter or Credit/No Credit
Instructors:
Hartnoll, S. (PI)
PHYSICS 211: Continuum Mechanics
Elasticity, fluids, turbulence, waves, gas dynamics, shocks, and MHD plasmas. Examples from everyday phenomena, geophysics, and astrophysics.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Abel, T. (PI)
PHYSICS 212: Statistical Mechanics
Principles, ensembles, statistical equilibrium. Thermodynamic functions, ideal and nearideal gases. Fluctuations. Meanfield description of phasetransitions and associated critical exponents. Onedimensional Ising model and other exact solutions. Renormalization and scaling relations. Prerequisites:
PHYSICS 131, 171, or equivalents.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Shenker, S. (PI)
PHYSICS 216: Back of the Envelope Physics
Techniques such as scaling and dimensional analysis, useful to make orderofmagnitude estimates of physical effects in different settings. Goals are to promote a synthesis of physics through solving problems, including problems that are not usually thought of as physics. Applications include properties of materials, fluid mechanics, geophysics, astrophysics, and cosmology. Prerequisites: undergraduate mechanics, statistical mechanics, electricity and magnetism, and quantum mechanics.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Madejski, G. (PI)
;
Wang, C. (TA)
PHYSICS 220: Classical Electrodynamics
Special relativity: The principles of relativity, Lorentz transformations, four vectors and tensors, relativistic mechanics and the principle of least action. Lagrangian formulation, charges in electromagnetic fields, gauge invariance, the electromagnetic field tensor, covariant equations of electrodynamics and mechanics, fourcurrent and continuity equation. Noether's theorem and conservation laws, Poynting's theorem, stressenergy tensor. Constant electromagnetic fields: conductors and dielectrics, magnetic media, electric and magnetic forces, and energy. Electromagnetic waves: Plane and monochromatic waves, spectral resolution, polarization, electromagnetic properties of matter, dispersion relations, wave guides and cavities. Prerequisites:
PHYSICS 121 and
PHYSICS 210, or equivalent;
MATH 106 or
MATH 116, and
MATH 132 or equivalent.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Kallosh, R. (PI)
PHYSICS 230: Graduate Quantum Mechanics I
Fundamental concepts. Introduction to Hilbert spaces and Dirac's notation. Postulates applied to simple systems, including those with periodic structure. Symmetry operations and gauge transformation. The path integral formulation of quantum statistical mechanics. Problems related to measurement theory. The quantum theory of angular momenta and central potential problems. Prerequisite:
PHYSICS 131 or equivalent.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Hayden, P. (PI)
PHYSICS 231: Graduate Quantum Mechanics II
Basis for higher level courses on atomic solid state and particle physics. Problems related to measurement theory and introduction to quantum computing. Approximation methods for timeindependent and timedependent perturbations. Semiclassical and quantum theory of radiation, second quantization of radiation and matter fields. Systems of identical particles and many electron atoms and molecules. Prerequisite:
PHYSICS 230.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Shenker, S. (PI)
PHYSICS 234: Advanced Topics in Quantum Mechanics (PHYSICS 134)
Scattering theory, partial wave expansion, Born approximation. Additional topics may include nature of quantum measurement, EPR paradox, Bell's inequality, and topics in quantum information science; path integrals and applications; Berry's phase; structure of multielectron atoms (HartreeFock); relativistic quantum mechanics (Dirac equation). Undergraduates register for
PHYSICS 134 (4 units). Graduate students register for
PHYSICS 234 (3 units). Prerequisite:
PHYSICS 131.
Terms: Aut

Units: 34

Grading: Letter or Credit/No Credit
Instructors:
Hayden, P. (PI)
;
Penington, G. (TA)
PHYSICS 240: Introduction to the Physics of Energy
Energy as a consumable. Forms and interconvertability. World Joule budget. Equivalents in rivers, oil pipelines and nuclear weapons. Quantum mechanics of fire, batteries and fuel cells. Hydrocarbon and hydrogen synthesis. Fundamental limits to mechanical, electrical and magnetic strengths of materials. Flywheels, capacitors and high pressure tanks. Principles of AC and DC power transmission. Impossibility of pure electricity storage. Surge and peaking. Solar constant. Photovoltaic and thermal solar conversion. Physical limits on agriculture.
Terms: Aut

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Laughlin, R. (PI)
PHYSICS 241: Introduction to Nuclear Energy
Radioactivity. Elementary nuclear processes. Energetics of fission and fusion. Crosssections and resonances. Fissionable and fertile isotopes. Neutron budgets. Light water, heavy water and graphite reactors. World nuclear energy production. World reserves of uranium and thorium. Plutonium, reprocessing and proliferation. Half lives of fission decay products and actinides made by neutron capture. Nuclear waste. Three Mile Island and Chernobyl. Molten sodium breeders. GenerationIV reactors. Inertial confinement and magnetic fusion. Laser compression. Fast neutron production and fissionfusion hybrids. Prerequisities: Strong undergraduate background in elementary chemistry and physics.
PHYSICS 240 and
PHYSICS 252 recommended but not required. Interested undergraduates encouraged to enroll, with permission of instructor.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Laughlin, R. (PI)
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