Titlebook: Gauge Invariance Approach to Acoustic Fields; Woon Siong Gan Book 2019 Springer Nature Singapore Pte Ltd. 2019 Covariant derivative.Global

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https://doi.org/10.1007/978-3-7091-9999-2The significance of Noether’s theorem in gauge theory is given. Applications in physics are illustrated by a few examples. To apply Noether’s theorem, the Lagrangian mechanics has to be used.

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Introduction,The gauge invariance approach is introduced to acoustic fields. This manifested as symmetry properties of acoustic fields which enable the deeper understanding of the acoustic fields and several important developments in the theories of acoustics and important novel applications.

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Coordinate Systems as the Framework of Equations,General covariance is explained. Then, various forms of coordinate systems are introduced: Cartesian coordinate system, cylindrical coordinate system and curvilinear coordinate system. These give rise to the concept of coordinate systems as the framework of equations.

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,Noether’s Theorem,The significance of Noether’s theorem in gauge theory is given. Applications in physics are illustrated by a few examples. To apply Noether’s theorem, the Lagrangian mechanics has to be used.