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... respect to x , transform as a 4 - vector . This can be shown as follows . Consider μ дф = дхи дф дх , дх , дхи v = 1 ( 11.82 ) From ( 11.72 ) it is evident that дх ( 374 Classical Electrodynamics 4-vectors and tensors, 374 268.
... respect to x , transform as a 4 - vector . This can be shown as follows . Consider μ дф = дхи дф дх , дх , дхи v = 1 ( 11.82 ) From ( 11.72 ) it is evident that дх ( 374 Classical Electrodynamics 4-vectors and tensors, 374 268.
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... 4- vector Jμ defined by μ Ju = ( J , icp ) Then ( 11.97 ) takes on the obviously covariant form : ᎧᎫ . = 0 Эхн ( 11.98 ) ( 11.99 ) μ That J is a legitimate 4 - vector can be established from the experimentally known invariance of ...
... 4- vector Jμ defined by μ Ju = ( J , icp ) Then ( 11.97 ) takes on the obviously covariant form : ᎧᎫ . = 0 Эхн ( 11.98 ) ( 11.99 ) μ That J is a legitimate 4 - vector can be established from the experimentally known invariance of ...
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... 4 - vector . Hence f must be the where : space part of a 4 - vector £ 1 = ( f , i £ c ) , μ 1 ƒ1 = = FμvJ v fu с ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out fo = ¦ƒ1 = ¦ ( Fa1J1 + ...
... 4 - vector . Hence f must be the where : space part of a 4 - vector £ 1 = ( f , i £ c ) , μ 1 ƒ1 = = FμvJ v fu с ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out fo = ¦ƒ1 = ¦ ( Fa1J1 + ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ