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Subject offerings of new and developing areas of knowledge in physics intended to augment the existing curriculum. See Class Schedule or departmental course information for topics and prerequisites. Course Information: May be repeated in the same or separate terms if topics vary.

Introduction to the role of crystal symmetries and Berry phases in modern condensed matter physics. Topics include adiabatic theorems and adiabatic transport, electric polarization, Wannier functions, topological insulators, the quantum Hall effect, and the theory of band representations.

Introduction to the role of crystal symmetries and Berry phases in modern condensed matter physics. Topics include group theory and representation theory, space groups and their representations, electric polarization, Wannier functions, topological insulators, the quantum Hall effect, and the theory of band representations.Modern Electronic Structure Theory