Classical Electrodynamics |
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Page 447
... limits ( 3.103 ) . Then in the relativistic limit the Fermi expression ( 13.70 ) is dE dx / b > a 2 ( ze ) 2 пс2 Re 00 ίω \ ε ( w ) - < [ in ( 1.123 ) - In ( 1 − ( 0 ) ) ] do ( 13.75 ) X - 2 ― It is worth while right here to point out ...
... limits ( 3.103 ) . Then in the relativistic limit the Fermi expression ( 13.70 ) is dE dx / b > a 2 ( ze ) 2 пс2 Re 00 ίω \ ε ( w ) - < [ in ( 1.123 ) - In ( 1 − ( 0 ) ) ] do ( 13.75 ) X - 2 ― It is worth while right here to point out ...
Page 493
... limit qa < 1 holds , and a region of wider angles where the limit qa > 1 applies . For qa 1 , the arguments of exponents in ( 14.111 ) are all so small that the exponential factors can be approximated by unity . Then the differential ...
... limit qa < 1 holds , and a region of wider angles where the limit qa > 1 applies . For qa 1 , the arguments of exponents in ( 14.111 ) are all so small that the exponential factors can be approximated by unity . Then the differential ...
Page 518
... limit . The constant value is the semi- classical result . The curve marked " Bethe - Heitler " is the quantum- mechanical Born approximation . For extremely relativistic particles the screening can be " complete . ” Complete screening ...
... limit . The constant value is the semi- classical result . The curve marked " Bethe - Heitler " is the quantum- mechanical Born approximation . For extremely relativistic particles the screening can be " complete . ” Complete screening ...
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