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... 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 ...
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... 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 ...
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... 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 ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
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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