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Geometric Quantization and Applications to Fields and Fluids
V. Parameswaran Nair
2024
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This open access book explains geometric quantization from a physicist’s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry. The content is tailored to appeal to researchers, graduate students, and advanced undergraduates in high-energy physics, particle physics, and mathematical physics. A background in differential geometry and group theory is beneficial for a comprehensive understanding of the discussions.
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Keywords
- Anomalies in Fluids
- Chern-Simons Theory
- chiral magnetic effect
- coherent states
- Geometric Quantization
- quantum Hall effect
- thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory)
- thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
- Theta Vacuum
- Topological Features of Quantization
Links
DOI: 10.1007/978-3-031-65801-3Editions