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Record Nr. |
UNINA9910911299203321 |
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Autore |
Nair V. P. |
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Titolo |
Geometric Quantization and Applications to Fields and Fluids / / by V. Parameswaran Nair |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (X, 129 p. 1 illus.) |
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Collana |
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SpringerBriefs in Physics, , 2191-5431 |
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Disciplina |
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Soggetti |
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Mathematical physics |
Particles (Nuclear physics) |
Quantum field theory |
Quantum statistics |
Mathematical Physics |
Elementary Particles, Quantum Field Theory |
Particle Physics |
Quantum Fluids and Solids |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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