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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 8 Re X ίω € ( w ) 1 [ In ( 1.123c ) - In ( 1- c ( ) ) ] do ( 13.75 ) ωα It is worth while right here to point out that the ...
... limits ( 3.103 ) . Then in the relativistic limit the Fermi expression ( 13.70 ) is dE dx / b > a 2 ( ze ) 2 пс2 8 Re X ίω € ( w ) 1 [ In ( 1.123c ) - In ( 1- c ( ) ) ] do ( 13.75 ) ωα It is worth while right here to point out that the ...
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 ...
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4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ