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For ka > 1 , the second form in ( 9.109 ) can be used to obtain an asymptotic expression , 1 1 TT T - 1sin ( 2ka 2,15 ( ka ) + ( 9.110 ) 2ka 4 which exhibits the small oscillations explicitly . These approximate expressions ( 9.109 ) ...
The Fermi expression ( 13.70 ) bears little resemblance to our previous results for energy loss , such as ( 13.35 ) . But under conditions where polarization effects are unimportant it yields the same results as before .
where we have used the dipole moment expression ( 13.19 ) . Assuming that the second term is small , the imaginary part of 1 / € ( w ) can be readily calculated and substituted into ( 13.70 ) . Then the integral over do can be performed ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
TimeVarying Fields Maxwells Equations Con
4 other sections not shown