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Page 375
... 4 - vector . By similar means it is elementary to show that the 4 - divergence of a 4 - vector is Lorentz invariant : With Aμ = ДА 204 v = 1 дх = дан дхи μ μ = 1 ( 11.85 ) ap / dx , in this expression , we find that the four ...
... 4 - vector . By similar means it is elementary to show that the 4 - divergence of a 4 - vector is Lorentz invariant : With Aμ = ДА 204 v = 1 дх = дан дхи μ μ = 1 ( 11.85 ) ap / dx , in this expression , we find that the four ...
Page 384
... 4 - vector . Hence f must be the space part of a 4 - vector f1 = ( 1 , i2 ) , where : 1 fu = F ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out F42J2 { ƒ1 = ¦ ( F11 / 1 + Fax / 2 + F13 ...
... 4 - vector . Hence f must be the space part of a 4 - vector f1 = ( 1 , i2 ) , where : 1 fu = F ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out F42J2 { ƒ1 = ¦ ( F11 / 1 + Fax / 2 + F13 ...
Page 637
... 4 - dimensional volume element , 376 of 4 - vector scalar products , 375 of 4 - vector scalar products , use in kinematics , 395 , 396 , 398 of phase of plane wave , 363 , 383 of products of fields , 389 of radiated power , 469 of ...
... 4 - dimensional volume element , 376 of 4 - vector scalar products , 375 of 4 - vector scalar products , use in kinematics , 395 , 396 , 398 of phase of plane wave , 363 , 383 of products of fields , 389 of radiated power , 469 of ...
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4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ