Nair, V. Parameswaran. Geometric Quantization and Applications to Fields and Fluids [electronic resource] / / by V. Parameswaran Nair.. — 1st ed. 2024.. — X, 129 p. 1 illus. : online resource. — (SpringerBriefs in Physics,) 2191-5431. - SpringerBriefs in Physics, .

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

Анотація:
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.

ISBN: 9783031658013

Standard No.: 10.1007/978-3-031-65801-3 doi

Subjects--Topical Terms:
Mathematical physics.
Elementary particles (Physics).
Quantum field theory.
Particles (Nuclear physics).
Quantum statistics.
Mathematical Physics.
Elementary Particles, Quantum Field Theory.
Particle Physics.
Quantum Fluids and Solids.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 530.15