Geometric Quantization and Applications to Fields and Fluids / / by V. Parameswaran Nair

• Autore: Nair V. P.
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
• Edizione: 1st ed. 2024.
• Descrizione fisica: 1 online resource (X, 129 p. 1 illus.)
• Disciplina: 530.15
• Soggetto topico: Mathematical physics; Particles (Nuclear physics); Quantum field theory; Quantum statistics; Mathematical Physics; Elementary Particles, Quantum Field Theory; Particle Physics; Quantum Fluids and Solids
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Geometric Quantization and Applications to Fields and Fluids
• ISBN: 9783031658013; 3031658019
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910911299203321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Physics, . 2191-5431