| ISBN13: | 9783031658006 |
| ISBN10: | 30316580011 |
| Binding: | Paperback |
| No. of pages: | 129 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | 1 Illustrations, black & white |
| 673 |
Geometric Quantization and Applications to Fields and Fluids
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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.
Introduction.- Symplectic Form and Poisson Brackets.- Classical Dynamics.- Geometric Quantization.- Topological Features of Quantization.- Coherent States, the Two-sphere and G/H Spaces.- The Chern-Simons Theory in 2+1 Dimensions.- ?-vacua in a Nonabelian Gauge Theory.- Fractional Statistics in Quantum Hall Effect.- Fluid Dynamics.- Quantization Rules.- A Comment on the Metaplectic Correction.
