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Ph 21: Computational Physics Laboratory II
6.00 Credits
California Institute of Technology
Computational tools for data analysis. Use of python for accessing scientific data from the web. Bayesian techniques. Fourier techniques. Image manipulation with python. Instructors: Mach, Prince.
Prerequisite:
Ph 20 or equivalent experience with programming.
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Ph 21 - Computational Physics Laboratory II
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Ph 210: Theoretical Quantum Chromodynamics
9.00 Credits
California Institute of Technology
Applications of quantum field theory to quantum chromodynamics, including operator product expansion, twist expansion and applications to deep inelastic scattering and Drell-Yan; effective field theories, including chiral perturbation theory, heavy quark effective theory, and soft collinear effective theory; large Nc; introduction to lattice chromodynamics. Applications to strong interaction phenomenology and weak decays. Not offered 2012–13.
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Ph 210 - Theoretical Quantum Chromodynamics
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Ph 217 abc: Introduction to the Standard Model
9.00 Credits
California Institute of Technology
This course deals with elementary particle physics and cosmology. Students should have at least some background in quantum field theory and general relativity. The standard model of weak and strong interactions is developed, along with predictions for Higgs physics and flavor physics. Some conjectures for physics beyond the standard model are introduced: for example, low-energy supersymmetry and warped extra dimensions. In the second half of the course, the standard picture for cosmology is discussed. The predictions of inflation for the primordial density perturbations are reviewed. The microwave background anisotropy is discussed. Not offered 2012–13.
Prerequisite:
Ph 205 abc and Ph 236 abc, or equivalent.
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Ph 217 abc - Introduction to the Standard Model
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Ph 219 abc: Quantum Computation
9.00 Credits
California Institute of Technology
The theory of quantum information and quantum computation. Overview of classical information theory, compression of quantum information, transmission of quantum information through noisy channels, quantum error-correcting codes, quantum cryptography and teleportation. Overview of classical complexity theory, quantum complexity, efficient quantum algorithms, fault-tolerant quantum computation, physical implementations of quantum computation. Not offered 2012–13.
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Ph 219 abc - Quantum Computation
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Ph 22: Computational Physics Laboratory III
6.00 Credits
California Institute of Technology
Computational tools and numerical techniques. Applications to problems in classical mechanics. Numerical solution of 3-body and N-body systems. Monte Carlo integration. Instructors: Mach, Prince.
Prerequisite:
Ph 20 or equivalent experience with programming and numerical techniques.
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Ph 22 - Computational Physics Laboratory III
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Ph 223 abc: Advanced Condensed-Matter Physics
9.00 Credits
California Institute of Technology
Advanced topics in condensed-matter physics, emphasizing the application of formal quantum field theory and group theory methods to many-body systems. Selected topics may include path integral and canonical formalisms, Green’s function techniques and Feynman diagrams, Fermi liquid theory, Luttinger liquid theory, symmetry breaking and Landau-Ginzburg theory of phase transitions, group theory and its applications, field theory for interacting bosons and superfluidity, superconductivity, Kondo effect, Hubbard and t-J models, gauge theory, fractional quantum Hall effect, anyons, and topological field theory. Instructor: Yeh.
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Ph 223 abc - Advanced Condensed-Matter Physics
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Ph 229 abc: Advanced Mathematical Methods of Physics
9.00 Credits
California Institute of Technology
Advanced topics in geometry and topology that are widely used in modern theoretical physics. Emphasis will be on understanding and applications more than on rigor and proofs. First term will cover basic concepts in topology and manifold theory. Second term will include Riemannian geometry, fiber bundles, characteristic classes, and index theorems. Third term will include anomalies in gauge-field theories and the theory of Riemann surfaces, with emphasis on applications to string theory. Instructor: Ooguri.
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Ph 229 abc - Advanced Mathematical Methods of Physics
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Ph 230 abc: Elementary Particle Theory
9.00 Credits
California Institute of Technology
Advanced methods in quantum field theory. First term: introduction to supersymmetry, including the minimal supersymmetric extension of the standard model, supersymmetric grand unified theories, extended supersymmetry, supergravity, and supersymmetric theories in higher dimensions. Second and third terms: nonperturbative phenomena in non-Abelian gauge field theories, including quark confinement, chiral symmetry breaking, anomalies, instantons, the 1/N expansion, lattice gauge theories, and topological solitons. Not offered 2012–13.
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Ph 230 abc - Elementary Particle Theory
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Ph 231 abc: Elementary Particle Physics
9.00 Credits
California Institute of Technology
An introduction to ele-mentary particle physics, stressing experimental phenomena and their theoretical interpretations. The standard model and its confrontation with experiment will be covered. Current notions for particle physics beyond the standard model will be explored, along with possible experimental signatures. Experimental techniques will also be discussed, including an introduction to accelerator physics. Not offered 2012–13.
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Ph 231 abc - Elementary Particle Physics
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Ph 232: Introduction to Topological Field Theory
9.00 Credits
California Institute of Technology
Topological field theories are the simplest examples of quantum field theories which, in a sense, are exactly solvable and generally covariant. During the past twenty years they have been the main source of interaction between physics and mathematics. Thus, ideas from gauge theory led to the discovery of new topological invariants for 3-manifolds and 4-manifolds. By now, topological quantum field theory (TQFT) has evolved into a vast subject, and the main goal of this course is to give an accessible introduction to this elegant subject. Not offered 2012–13.
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Ph 232 - Introduction to Topological Field Theory
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