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Gauge invariance approach to acousti...

Gan, Woon Siong.

Gauge invariance approach to acoustic fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gauge invariance approach to acoustic fieldsby Woon Siong Gan.
Author:	Gan, Woon Siong.
Published:	Singapore :Springer Singapore :2019.
Description:	xvii, 169 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Gauge fields (Physics)
Online resource:	https://doi.org/10.1007/978-981-13-8751-7
ISBN:	9789811387517$q(electronic bk.)

Gauge invariance approach to acoustic fields
Gan, Woon Siong.

Gauge invariance approach to acoustic fields[electronic resource] /by Woon Siong Gan. - Singapore :Springer Singapore :2019. - xvii, 169 p. :ill. (some col.), digital ;24 cm.

Introduction -- History of Gauge Theory -- Coordinate Systems as the Framework of Equations -- Gauge Fields -- Covariant Derivative in Gauge Theory -- Lie Groups -- Global Gauge Invariance -- Local Gauge Invariance -- Gauge Fixing -- Noether's Theorem -- Spontaneous Symmetry Breaking and Phonon as the Goldstone Mode -- Time Reversal Acoustics and Super resolution -- Negative Refraction, Acoustical Metamaterials , and Acoustical Cloaking -- New Acoustics based on Metamaterials.

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy) Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.

ISBN: 9789811387517$q(electronic bk.)

Standard No.: 10.1007/978-981-13-8751-7doiSubjects--Topical Terms:

203820
Gauge fields (Physics)

LC Class. No.: QC793.3.G38 / G369 2019

Dewey Class. No.: 530.1435

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245 1 0 $a Gauge invariance approach to acoustic fields $h [electronic resource] / $c by Woon Siong Gan.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a xvii, 169 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- History of Gauge Theory -- Coordinate Systems as the Framework of Equations -- Gauge Fields -- Covariant Derivative in Gauge Theory -- Lie Groups -- Global Gauge Invariance -- Local Gauge Invariance -- Gauge Fixing -- Noether's Theorem -- Spontaneous Symmetry Breaking and Phonon as the Goldstone Mode -- Time Reversal Acoustics and Super resolution -- Negative Refraction, Acoustical Metamaterials , and Acoustical Cloaking -- New Acoustics based on Metamaterials.
520 $a This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy) Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.
650 0 $a Gauge fields (Physics) $3 203820
650 0 $a Nonlinear acoustics. $3 347967
650 1 4 $a Engineering Acoustics. $3 357294
650 2 4 $a Characterization and Evaluation of Materials. $3 273978
650 2 4 $a Acoustics. $3 242702
650 2 4 $a Solid Mechanics. $3 825700
650 2 4 $a Solid State Physics. $3 376486
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-13-8751-7
950 $a Engineering (Springer-11647)