LEADER 03195nam 22006615 450 001 9910911299203321 005 20250807153301.0 010 $a9783031658013 010 $a3031658019 024 7 $a10.1007/978-3-031-65801-3 035 $a(CKB)36702044800041 035 $a(DE-He213)978-3-031-65801-3 035 $a(MiAaPQ)EBC31850516 035 $a(Au-PeEL)EBL31850516 035 $a(EXLCZ)9936702044800041 100 $a20241124d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric Quantization and Applications to Fields and Fluids /$fby V. Parameswaran Nair 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (X, 129 p. 1 illus.) 225 1 $aSpringerBriefs in Physics,$x2191-5431 311 08$a9783031658006 311 08$a3031658000 327 $aIntroduction -- 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. 330 $aThis open access book explains geometric quantization from a physicist?s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-energy physics and condensed matter physics. Applications explore Chern-Simons theory, theta vacuum, the Hall effect, fluid dynamics, and elements of noncommutative geometry. The content is tailored to appeal to researchers, graduate students, and advanced undergraduates in high-energy physics, particle physics, and mathematical physics. A background in differential geometry and group theory is beneficial for a comprehensive understanding of the discussions. 410 0$aSpringerBriefs in Physics,$x2191-5431 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aParticles (Nuclear physics) 606 $aQuantum statistics 606 $aMathematical Physics 606 $aElementary Particles, Quantum Field Theory 606 $aParticle Physics 606 $aQuantum Fluids and Solids 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aParticles (Nuclear physics) 615 0$aQuantum statistics. 615 14$aMathematical Physics. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aParticle Physics. 615 24$aQuantum Fluids and Solids. 676 $a530.15 700 $aNair$b V. P.$4aut$4http://id.loc.gov/vocabulary/relators/aut$0498928 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910911299203321 996 $aGeometric Quantization and Applications to Fields and Fluids$94292982 997 $aUNINA