Classical Electrodynamics |
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Page 16
We want to show the uniqueness of the solution of Poisson's equation, V*(p = —
47p, inside a volume V subject to ... boundary conditions on the closed bounding
surface S. We suppose, to the contrary, that there exist two solutions (P1 and be ...
We want to show the uniqueness of the solution of Poisson's equation, V*(p = —
47p, inside a volume V subject to ... boundary conditions on the closed bounding
surface S. We suppose, to the contrary, that there exist two solutions (P1 and be ...
Page 17
Dirichlet Open surface Not enough Not enough Unique, stable solution in one
direction Closed surface Unique, stable Too much Too much solution Neumann
Open surface Not enough Not enough Unique, stable solution in one direction ...
Dirichlet Open surface Not enough Not enough Unique, stable solution in one
direction Closed surface Unique, stable Too much Too much solution Neumann
Open surface Not enough Not enough Unique, stable solution in one direction ...
Page 81
Whereas the expansion for a single sphere is most easily obtained from the
image solution, the general result (3.125) for a spherical shell is rather difficult to
obtain by the method of images, since it involves an infinite set of images.
Whereas the expansion for a single sphere is most easily obtained from the
image solution, the general result (3.125) for a spherical shell is rather difficult to
obtain by the method of images, since it involves an infinite set of images.
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Contents
Introduction to Electrostatics | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
BoundaryValue Problems in Electrostatics II | 54 |
Copyright | |
16 other sections not shown
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Common terms and phrases
acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence 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 light 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 relativistic result satisfy scalar scattering shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written
Bibliographic information
| Title | Classical Electrodynamics |
| Authors | John David Jackson, Patrick Thaddeus Jackson |
| Edition | 3 |
| Publisher | Wiley, 1962 |
| Length | 641 pages |
| Export Citation | BiBTeX EndNote RefMan |