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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 371
... space - like separation , because it is always possible to find a Lorentz transformation to a new coordinate system K ' where ( t1 ' — t2 ' ) = 0 and - $ 122 = ( x1 ′ — x2 ' ) 2 + ( Y1 ' − Y2 ' ) 2 + ( ≈1 ′ − z2 ' ) 2 > 0 ( 11.65 ) ...
... space - like separation , because it is always possible to find a Lorentz transformation to a new coordinate system K ' where ( t1 ' — t2 ' ) = 0 and - $ 122 = ( x1 ′ — x2 ' ) 2 + ( Y1 ' − Y2 ' ) 2 + ( ≈1 ′ − z2 ' ) 2 > 0 ( 11.65 ) ...
Page 384
... space components of a 4 - vector . Hence f must be the space part of a 4 - vector ƒ , = ( f , i13 ) , where : fu = = FuvJ v ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out 1 fo = & ƒ1 ...
... space components of a 4 - vector . Hence f must be the space part of a 4 - vector ƒ , = ( f , i13 ) , where : fu = = FuvJ v ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out 1 fo = & ƒ1 ...
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BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector acceleration Ampère's law angular distribution approximation atomic axis behavior boundary conditions bremsstrahlung calculation Chapter charge q charged particle Cherenkov radiation classical coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic emitted energy loss energy transfer equation of motion factor force equation frame frequency given Green's function impact parameter incident particle integral Lagrangian limit Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain orbit oscillations P₁ P₂ parallel perpendicular photon plane plasma polarization power radiated problem quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution spectrum sphere spherical surface transverse V₁ vanishes vector potential wave number wavelength ΦΩ