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Symmetry in Electromagnetism

Symmetry in Electromagnetism

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Electromagnetism plays a crucial role in basic and applied physics research. The discovery of electromagnetism as the unifying theory for electricity and magnetism represents a cornerstone in modern physics. Symmetry was crucial to the concept of unification: electromagnetism was soon formulated as a gauge theory in which local phase symmetry explained its mathematical formulation. This early connection between symmetry and electromagnetism shows that a symmetry-based approach to many electromagnetic phenomena is recurrent, even today. Moreover, many recent technological advances are based on the control of electromagnetic radiation in nearly all its spectra and scales, the manipulation of matter–radiation interactions with unprecedented levels of sophistication, or new generations of electromagnetic materials. This is a fertile field for applications and for basic understanding in which symmetry, as in the past, bridges apparently unrelated phenomena―from condensed matter to high-energy physics. In this book, we present modern contributions in which symmetry proves its value as a key tool. From dual-symmetry electrodynamics to applications to sustainable smart buildings, or magnetocardiography, we can find a plentiful crop, full of exciting examples of modern approaches to electromagnetism. In all cases, symmetry sheds light on the theoretical and applied works presented in this book.

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Keywords

  • Aharonov-Bohm effect
  • Barium hexaferrite
  • Bateman construction
  • constraint equations
  • correlation coefficient
  • dispersion diagram
  • effective power density
  • electric-magnetic duality symmetry
  • electrodynamic structure
  • Electrodynamics
  • electromagnetic duality symmetry
  • electromagnetic knots
  • electromagnetic polarization
  • evolutionary equations
  • finite element analysis
  • geometric algebra
  • glide symmetry
  • ground high speed system
  • harmonics
  • Harvesting
  • helicity
  • high-order coupling
  • History of engineering & technology
  • hopfion
  • Hysteresis
  • interval thresholding method
  • low-power applications
  • magnetic circuit
  • magnetic levitation
  • magnetocardiography
  • Maxwell theory
  • micro-generator
  • n/a
  • non-local action
  • null fields
  • optical helicity
  • optimal solution
  • particle creation
  • periodic structures
  • periodical structure
  • permanent magnet applications
  • Poynting Multivector
  • quadratic penalty
  • quantum anomalies
  • smart building
  • spin-orbital momentum
  • Symmetry
  • Technology, engineering, agriculture
  • Technology: general issues
  • Titanium
  • variational mode decomposition
  • Vibration
  • X-ray diffraction

Links

DOI: 10.3390/books978-3-03943-125-0

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