Classical Electrodynamics |
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Page 376
... 4 - vectors , or Lorentz scalars , or in general 4 - tensors of the same rank . This is necessary in order that a relation valid in one coordinate frame will also hold in the same form in another . Consider , for example , the ...
... 4 - vectors , or Lorentz scalars , or in general 4 - tensors of the same rank . This is necessary in order that a relation valid in one coordinate frame will also hold in the same form in another . Consider , for example , the ...
Page 378
... 4- vector J , defined by Then ( 11.97 ) takes on the obviously covariant form : J1 = ( J , icp ) aJ = 0 θαμ μ ᎧᎫ . ( 11.98 ) ( 11.99 ) μ That J is a legitimate 4 - vector can be established from the experimentally known invariance of ...
... 4- vector J , defined by Then ( 11.97 ) takes on the obviously covariant form : J1 = ( J , icp ) aJ = 0 θαμ μ ᎧᎫ . ( 11.98 ) ( 11.99 ) μ That J is a legitimate 4 - vector can be established from the experimentally known invariance of ...
Page 595
... 4 - vector representing the electromagnetic self- energy - momentum is straightforward . We merely create a 4 - vector which reduces to the electrostatic self - energy ( 17.36 ) in the particle's rest frame . * Clearly we must take the ...
... 4 - vector representing the electromagnetic self- energy - momentum is straightforward . We merely create a 4 - vector which reduces to the electrostatic self - energy ( 17.36 ) in the particle's rest frame . * Clearly we must take the ...
Common terms and phrases
4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric dielectric constant diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem propagation radius region relativistic result scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ