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

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Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Nair, V. P., Author.
Series:
SpringerBriefs in Physics, 2191-5431
Language:
English
Subjects (All):
Mathematical physics.
Particles (Nuclear physics).
Quantum field theory.
Quantum statistics.
Mathematical Physics.
Elementary Particles, Quantum Field Theory.
Particle Physics.
Quantum Fluids and Solids.
Local Subjects:
Mathematical Physics.
Elementary Particles, Quantum Field Theory.
Particle Physics.
Quantum Fluids and Solids.
Physical Description:
1 online resource (X, 129 p. 1 illus.)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Summary:
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.
Contents:
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.
ISBN:
9783031658013
3031658019

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