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Page 369
... invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dt2 = dt'2 ( 11.59 ) For Lorentz transformations , on the other hand , the time and space coordinates are interrelated . From ( 11.21 ) it is easy to show that the invariant " length ...
... invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dt2 = dt'2 ( 11.59 ) For Lorentz transformations , on the other hand , the time and space coordinates are interrelated . From ( 11.21 ) it is easy to show that the invariant " length ...
Page 378
... invariance of electric charge . This invariance implies that ( p dx , dx2 dx3 ) is a Lorentz invariant . Since i d1x = ( 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 , dx2 dx3 ) is a Lorentz invariant . Since i d1x = ( dx , dx dx , dx ) is a Lorentz invariant , it follows that p transforms like the fourth component of a 4 - vector ...
Page 632
... Lorentz transformation of coordinates , 376 in transforming delta functions , 79 Kinematics , relativistic , 394 f ... invariant , see Scalar , Relativ- istic invariance Lorentz line shape , 436 , 601 , 604 for cavity , 256 Lorentz ...
... Lorentz transformation of coordinates , 376 in transforming delta functions , 79 Kinematics , relativistic , 394 f ... invariant , see Scalar , Relativ- istic invariance Lorentz line shape , 436 , 601 , 604 for cavity , 256 Lorentz ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation 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 parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ 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