Classical Electrodynamics |
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Page 378
... invariance of electric charge . This invariance implies that ( p dx , dx , dx3 ) is a Lorentz invariant . Since i d'x = ( dx , dx , dx dx ) is a Lorentz invariant , it follows that p transforms like the fourth component of a 4 - vector ...
... invariance of electric charge . This invariance implies that ( p dx , dx , dx3 ) is a Lorentz invariant . Since i d'x = ( dx , dx , dx dx ) is a Lorentz invariant , it follows that p transforms like the fourth component of a 4 - vector ...
Page 406
... Lorentz invariance of the action in order to determine the free - particle Lagrangian . That the action is a Lorentz ... invariant , the condition that A be also Lorentz invariant forces yL to be Lorentz invariant . This is a general ...
... Lorentz invariance of the action in order to determine the free - particle Lagrangian . That the action is a Lorentz ... invariant , the condition that A be also Lorentz invariant forces yL to be Lorentz invariant . This is a general ...
Page 407
... Lorentz invariant , but depends on the path taken . For purposes of calculation , consider a reference frame in which the particle is initially at rest . From definition ( 11.62 ) of proper time it is clear that , if the particle stays ...
... Lorentz invariant , but depends on the path taken . For purposes of calculation , consider a reference frame in which the particle is initially at rest . From definition ( 11.62 ) of proper time it is clear that , if the particle stays ...
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