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Course Criteria
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3.00 Credits
PQ: PHYS 13300 or 14300 required; knowledge of computer programming not required. This course introduces the use of computers in the physical sciences. After an introduction to programming basics, we cover numerical solutions to fundamental types of problems, techniques for manipulating large data sets, and computer simulations of complex systems. Additional topics may include an introduction to graphical programming, with applications to data acquisition and device control. Autumn. L.
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3.00 Credits
PQ: One year of calculus, two quarters of physics at any level, and PHYS 25000 or prior programming experience. This course presents the mathematical bases for the complex, scale-independent behavior seen in chaotic dynamics and fractal patterns. It illustrates these principles from physical and biological phenomena. It explores these behaviors concretely using extensive computer simulation exercises, thus developing simulation and data analysis skills. Winter. L.
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3.00 Credits
PQ: PHYS 18500, and PHYS 22100 or MATH 20400 or consent of instructor. This course introduces general relativity. After a review of special relativity and four-dimensional spacetime, the basic tools of physics in a curved spacetime are introduced. The Schwarzschild solution describing both black holes and the exteriors of stars and planets is presented, and the behavior of objects in a Schwarzschild spacetime is extensively studied. The course concludes by introducing the dynamical equations relating energy and momentum to spacetime curvature ( Einstein's equations). Autumn.
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3.00 Credits
PQ: PHYS 23500. This course covers several research topics of current interest in physics. Topics chosen by the instructors may include neutrino masses, the quantum Hall effect, dark matter and dark energy, the physics of grains and glasses, the search for supersymmetry, and nanophysics, as well as others. The course is intended to acquaint students with forefront research in physics and to show how ideas from different areas of physics are combined in dealing with real-world problems. Autumn.
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3.00 Credits
PQ: Open to students who are majoring in Physics with fourth-year standing and consent of instructor. Students are required to submit the College Reading and Research Course Form in Autumn Quarter. Students receive a grade in each quarter of registration: P/F grading in Autumn and Winter Quarters, and a quality grade in Spring Quarter. This yearlong sequence of courses is designed to involve the student in current research. Over the course of the year, the student works on a research project in physics or a closely related field (e.g., astrophysics) leading to the writing of a bachelor's thesis. A student who submits a satisfactory thesis, earns a grade of B or higher based on the project, and achieves a GPA of 3.0 or higher in the required undergraduate physics courses is eligible to receive a BA with honors. The project may be one suggested by the instructor or one proposed by the student and approved by the instructor. In either case, all phases of the project (including the literature search, design and construction of the experiments, and analysis) must be done by the student. The instructor, the faculty adviser, post-docs, and graduate students are, of course, available for consultation. Autumn, Winter, Spring.
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3.00 Credits
PQ: Consent of instructor and departmental counselor. Open to students who are majoring in Physics with third- or fourth-year standing. Students are required to submit the College Reading and Research Course Form. May be taken for P/F grading with consent of instructor. By mutual agreement, students work in a faculty member's research group. Participation in research may take the form of independent work (with some guidance) on a small project, or of assistance in research to an advanced graduate student or research associate. A written report must be submitted at the end of the quarter. Students may register for PHYS 29700 for as many quarters as they wish; students need not remain with the same faculty member each quarter. Summer, Autumn, Winter, Spring. L.
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3.00 Credits
PQ: PHYS 18500. This course begins with variational formulation of classical mechanics of point particles, including discussion of the principle of least action, Poisson brackets, and Hamilton-Jacobi theory. These concepts are generalized to continuous systems with infinite number of degrees of freedom, including a discussion of the transition to quantum mechanics. Autumn.
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3.00 Credits
PQ: PHYS 22700 and 23500. This two-quarter sequence covers electromagnetic properties of continuous media, gauge transformations, electromagnetic waves, radiation, relativistic electrodynamics, Lorentz theory of electrons, and theoretical optics. There is considerable emphasis on the mathematical methods behind the development of the physics of these problems. Winter, Spring.
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3.00 Credits
PQ: PHYS 22700. Topics include complex analysis, linear algebra, differential equations, boundary value problems, and special functions. Autumn.
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3.00 Credits
PQ: PHYS 23500, and PHYS 22100 or MATH 27300. This two-quarter sequence covers wave functions and their physical content, one-dimensional systems, WKB method, operators and matrix mechanics, angular momentum and spin, two- and three-dimensional systems, the Pauli principle, perturbation theory, Born approximation, and scattering theory. Autumn, Winter.
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