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An electromagnetic field (also EM field) is a physical field, mathematical functions of position and time, representing the influences on and due to electric charges. [1] The field at any point in space and time can be regarded as a combination of an electric field and a magnetic field .
Chapter 7: Plane Electromagnetic Waves and Wave Propagation; Chapter 8: Waveguides, Resonant Cavities, and Optical Fibers; Chapter 9: Radiating Systems, Multipole Fields and Radiation; Chapter 10: Scattering and Diffraction; Chapter 11: Special Theory of Relativity; Chapter 12: Dynamics of Relativistic Particles and Electromagnetic Fields
If the matter field is taken so as to describe the interaction of electromagnetic fields with the Dirac electron given by the four-component Dirac spinor field ψ, the current and charge densities have form: [2] = † = †, where α are the first three Dirac matrices. Using this, we can re-write Maxwell's equations as:
There is a widespread interpretation of Maxwell's equations indicating that spatially varying electric and magnetic fields can cause each other to change in time, thus giving rise to a propagating electromagnetic wave [6] (electromagnetism). However, Jefimenko's equations show an alternative point of view. [7]
Electrohydrodynamics deals with interaction of electromagnetic fields with weakly conductive fluids [486] and ferrohydrodynamics deals with interaction of electromagnetic fields with magnetic fluids. Today magnetohydrodynamics and its related fields have many applications in plasma physics , electrical engineering , mechanical engineering ...
The theory of special relativity plays an important role in the modern theory of classical electromagnetism.It gives formulas for how electromagnetic objects, in particular the electric and magnetic fields, are altered under a Lorentz transformation from one inertial frame of reference to another.
Chapter 4: Symmetry in Quantum Mechanics; Chapter 5: Approximation Methods; Chapter 6: Scattering Theory; Chapter 7: Identical Particles; Chapter 8: Relativistic Quantum Mechanics; Appendix A: Electromagnetic Units; Appendix B: Elementary Solutions to Schrödinger's Wave Equation; Appendix C: Hamiltonian for a Charge in an Electromagnetic Field
The E field and B field vary in space and time. Electromagnetic (EM) fields affect the motion of electrically charged matter: due to the Lorentz force. In this way, EM fields can be detected (with applications in particle physics, and natural occurrences such as in aurorae). In relativistic form, the Lorentz force uses the field strength tensor ...