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Gauge Fields

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Abstract

First, an introduction is followed by the formulation of electric field and magnetic field in terms of gauge fields. Then, the relation between gauge fields and gauge transformation, field strength and gauge fields are provided. Then, the role of gauge field in local gauge invariance is described. Gauge field and phase of the wave function are described. The verification of the physical effect of the gauge field by the Aharanov–Bohm effect is given. Then, gauge fields in acoustics are stated.

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References

  1. Gan, W.S.: Gauge invariance approach to acoustic fields. In: Akiyama, I. (ed.) Acoustical Imaging, vol. 29, pp. 389–394. Springer, The Netherlands (2007)

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  2. Aharonov, Y., Bohm, D.: Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485 (1959)

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  3. Chambers, R.G.: Shift of an electron interference pattern by enclosed magnetic flux. Phys. Rev. Lett. 5, 3 (1960)

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Correspondence to Woon Siong Gan .

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© 2019 Springer Nature Singapore Pte Ltd.

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Gan, W.S. (2019). Gauge Fields. In: Gauge Invariance Approach to Acoustic Fields. Springer, Singapore. https://doi.org/10.1007/978-981-13-8751-7_4

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  • DOI: https://doi.org/10.1007/978-981-13-8751-7_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8750-0

  • Online ISBN: 978-981-13-8751-7

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