Classical Electrodynamics |
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Page 86
... results can be obtained from this expansion. If we let x → 0, only the m = 0 term
survives, and we obtain the integral representation: –––3 s cos kz Ko(kp) dk (
3.150) Vpo -- z* T Jo If we replace p” in (3.150) by R' = p” + p” – 2pp'cos ...
... results can be obtained from this expansion. If we let x → 0, only the m = 0 term
survives, and we obtain the integral representation: –––3 s cos kz Ko(kp) dk (
3.150) Vpo -- z* T Jo If we replace p” in (3.150) by R' = p” + p” – 2pp'cos ...
Page
12.4 Laboratory angle 0, of particle 3 versus center of —lf O momentum angle 6'
for 2 - 1 O # 7r and o. o. 1. 6'— it is a straightforward, although tedious, matter to
obtain the result: 2 2 * — m.? (E1 + mosmo, + corror-ro) 2 * — * — 2\ 2 + p cos 9.
12.4 Laboratory angle 0, of particle 3 versus center of —lf O momentum angle 6'
for 2 - 1 O # 7r and o. o. 1. 6'— it is a straightforward, although tedious, matter to
obtain the result: 2 2 * — m.? (E1 + mosmo, + corror-ro) 2 * — * — 2\ 2 + p cos 9.
Page
Then we obtain o . e!% #s gas-on") als (14.127) 7. 2_% The integral is a Dirac
delta function. Then dI(o) e^e”B” sin” 0 d() where 6 is measured relative to the
velocity v. The presence of the delta function guarantees that the radiation is
emitted ...
Then we obtain o . e!% #s gas-on") als (14.127) 7. 2_% The integral is a Dirac
delta function. Then dI(o) e^e”B” sin” 0 d() where 6 is measured relative to the
velocity v. The presence of the delta function guarantees that the radiation is
emitted ...
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Contents
Introduction to Electrostatics | 1 |
Nš 3 | 3 |
Greens theorem | 14 |
Copyright | |
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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting conductor Consequently consider constant coordinates cross section cylinder defined density depends derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative result satisfy scalar scattering shows side simple solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written
Bibliographic information
| Title | Classical Electrodynamics |
| Author | John David Jackson |
| Publisher | Wiley, 1963 |
| Length | 641 pages |
| Export Citation | BiBTeX EndNote RefMan |