Geometric Quantization and Applications to Fields and Fluids

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 vac...

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Bibliographic Details
Main Author: Nair, V. Parameswaran. author (author)
Format: eBook
Language:Inglés
Published: Cham : Springer Nature Switzerland 2024.
Edition:1st ed. 2024.
Series:SpringerBriefs in Physics,
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009871137806719
Table of 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.