Geometric Quantization and Applications to Fields and Fluids
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Beschreibung
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.
This book is open access, which means that you have free and unlimited access Discusses geometric quantization from a physicist’s point of view Showcases applications relevant to high energy physics and condensed matter research Enriched with exercises to master the subject
Autor*in
V. Parameswaran Nair
Themen in »Geometric Quantization and Applications to Fields and Fluids«
Open Access Geometric Quantization Coherent States Topological Features of Quantization Chern-Simons Theory Anomalies in Fluids Chiral Magnetic Effect Quantum Hall Effect Theta Vacuum
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“This open-access book comprises 130 pages, organized into 12 chapters. … The references are extensive, and several chapters include exercises … . this concise and elegant text o ers a unique physicists perspective on geo metric quantization. The integration of abstract formalism with concrete applications makes it a rewarding read for graduate students and researchers alike in mathematical physics.” (Farhang Loran, Mathematical Reviews, August, 2025)
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