TY - BOOK AU - Nair,V.Parameswaran ED - SpringerLink (Online service) TI - Geometric Quantization and Applications to Fields and Fluids T2 - SpringerBriefs in Physics, SN - 9783031658013 AV - QC19.2-20.85 U1 - 530.15 23 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Springer KW - Mathematical physics KW - Elementary particles (Physics) KW - Quantum field theory KW - Particles (Nuclear physics) KW - Quantum statistics KW - Mathematical Physics KW - Elementary Particles, Quantum Field Theory KW - Particle Physics KW - Quantum Fluids and Solids N1 - 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 -- θ-vacua in a Nonabelian Gauge Theory -- Fractional Statistics in Quantum Hall Effect -- Fluid Dynamics -- Quantization Rules -- A Comment on the Metaplectic Correction; Open Access N2 - 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 UR - https://doi.org/10.1007/978-3-031-65801-3 ER -