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Geometric quantization and applications to fields and fluids

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric quantization and applications to fields and fluids/ by V. Parameswaran Nair.
作者:	Nair, V. Parameswaran.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	x, 129 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Geometric quantization. -
電子資源:	https://doi.org/10.1007/978-3-031-65801-3
ISBN:	9783031658013

Geometric quantization and applications to fields and fluids
Nair, V. Parameswaran.

Geometric quantization and applications to fields and fluids[electronic resource] /by V. Parameswaran Nair. - Cham :Springer Nature Switzerland :2024. - x, 129 p. :ill., digital ;24 cm. - 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.

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.: 10.1007/978-3-031-65801-3doiSubjects--Topical Terms:

579202
Geometric quantization.

LC Class. No.: QC174.17.G46

Dewey Class. No.: 530.143

Geometric quantization and applications to fields and fluids
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245 1 0 $a Geometric quantization and applications to fields and fluids $h [electronic resource] / $c by V. Parameswaran Nair.
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490 1 $a SpringerBriefs in physics, $x 2191-5431
505 0 $a 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.
506 $a Open access.
520 $a 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.
650 0 $a Geometric quantization. $3 579202
650 1 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Particle Physics. $3 3538893
650 2 4 $a Quantum Fluids and Solids. $3 3601232
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