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PHYS 611: Statistical Mechanics
3.00 Credits
University of Pennsylvania
Prerequisite(s): PHYS 401, 531, or equivalent. Introduction to the canonical structure and formulation of modern statistical mechanics. The thermodynamic limit. Entropic and depletion forces. Gas and liquid theory. Phase transitions and critical phenomena. The virial expansion. Quantum statistics. Path integrals, the Fokker-Planck equation and stochastic processes.
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PHYS 611 - Statistical Mechanics
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PHYS 622: Introduction to Elementary Particle Physics
3.00 Credits
University of Pennsylvania
Prerequisite(s): PHYS 601. Introduction to the phenomenology of elementary particles, strong and weak interactions, symmetries.
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PHYS 622 - Introduction to Elementary Particle Physics
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PHYS 632: Relativistic Quantum Field Theory
3.00 Credits
University of Pennsylvania
Prerequisite(s): PHYS 601. Advanced topics in field theory, including renormalization theory.
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PHYS 632 - Relativistic Quantum Field Theory
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PHYS 654: Anomalies in Quantum Field Theory and Superstrings:A Topological Approach
3.00 Credits
University of Pennsylvania
This course is designed for students in both the Physics and Mathematics Departments who are interested in mathematical physics, particularly as it applies to quantum field theory, relativity and superstrings. We will focus on the theory of anomalies from two distinct points of view.
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PHYS 654 - Anomalies in Quantum Field Theory and Superstrings:A Topological Approach
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PHYS 655: Geometry and String Theory
3.00 Credits
University of Pennsylvania
The goal of the course is to introduce students, post-docs and faculty to the mathematics and physics associated with the recent advances in field theory and superstring theory. We will introduce, and use, relatively sophisticated mathematical techniques, such as index theorems, elliptic fibrations and vector bundle theory. These will be applied to important physics topics such as anomalies and F-theory/M-theory duality, with the goal of giving the student high-level familiarity with formal superstring theory.
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PHYS 655 - Geometry and String Theory
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PHYS 656: Topics in Mathematical Physics and String Theory
3.00 Credits
University of Pennsylvania
Staff. This interdisciplinary course discusses advanced topics in mathematical physics. Topics may include elliptic operators, heat kernels, complexes and the Atiyah-Singer index theorem, Feynman graphs and anomalies, computing Abelian and non-Abelian anomalies, and the relation of anomalies to the index theorem.
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PHYS 656 - Topics in Mathematical Physics and String Theory
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PHYS 657: Topics in Mathematical Physics and String Theory
3.00 Credits
University of Pennsylvania
Continuation of PHYS 656. Topics may include the family index theorem, equivariant cohomology and loop spaces, the homological algebra of BRST invariance and the Wess-Zumino consistency condition, the descent equations, and worldsheet anomalies in string theory.
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PHYS 657 - Topics in Mathematical Physics and String Theory
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PHYS 661: Solid State Theory I
3.00 Credits
University of Pennsylvania
This course is intended to be an introductory graduate course on the physics of solids, crystals and liquid crystals. There will be a strong emphasis on the use and application of broken and unbroken symmetries in condensed matter physics. Topics covered include superconductivity and superfluidity.
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PHYS 661 - Solid State Theory I
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PHYS 662: Solid State Theory II
3.00 Credits
University of Pennsylvania
A continuation of PHYS 661.
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PHYS 662 - Solid State Theory II
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PHYS 682: Elementary Particle Theory
3.00 Credits
University of Pennsylvania
Gauge theories, the standard model of strong and electroweak interactions, extended electroweak models, unified theories and their theoretical, experimental, and cosmological implications. This course is intended to bring students to the level of current research in elementary particle physics.
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PHYS 682 - Elementary Particle Theory
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