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Page 369
... space and time coordinates are unconnected . Consequently under Galilean transformations the infinitesimal elements of distance and time are separately invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dt2 = dt'2 ( 11.59 ) For Lorentz ...
... space and time coordinates are unconnected . Consequently under Galilean transformations the infinitesimal elements of distance and time are separately invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dt2 = dt'2 ( 11.59 ) For Lorentz ...
Page 370
... space - like " and " time - like " separations between two events . Con- sider Fig . 11.10 , in which the time axis ( actually ct ) is vertical and the space axes are perpendicular to it . For simplicity only one space dimension is ...
... space - like " and " time - like " separations between two events . Con- sider Fig . 11.10 , in which the time axis ( actually ct ) is vertical and the space axes are perpendicular to it . For simplicity only one space dimension is ...
Page 384
... space components of a 4 - vector . Hence must be the space part where : √μ = fu FAJ of a 4 - vector f ,, = ( f , ¡ 1o ) , μ ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out с 1 fo ...
... space components of a 4 - vector . Hence must be the space part where : √μ = fu FAJ of a 4 - vector f ,, = ( f , ¡ 1o ) , μ ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out с 1 fo ...
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BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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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