Classical Electrodynamics |
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Page 121
space (p, q space) is proportional to the Boltzmann factor exp (-H/kT) (4.79)
where H is the Hamiltonian. In the simple problem of a harmonically bound
electron with an applied field in the z direction, the Hamiltonian is H = + p" + "
odox” — eEz ...
space (p, q space) is proportional to the Boltzmann factor exp (-H/kT) (4.79)
where H is the Hamiltonian. In the simple problem of a harmonically bound
electron with an applied field in the z direction, the Hamiltonian is H = + p" + "
odox” — eEz ...
Page 129
... and determine all the nonvanishing multipole moments. Write down the
potential at large distances as a finite expansion in Legendre polynomials. (b)
Determine the potential explicitly at any point in space, and show that near the
origin r?
... and determine all the nonvanishing multipole moments. Write down the
potential at large distances as a finite expansion in Legendre polynomials. (b)
Determine the potential explicitly at any point in space, and show that near the
origin r?
Page
The other components of f yield similar results, showing that (11.126) can be
written as f = | F.J., k = 1,2,3 (11.128) C The right-hand side of (11.128) is
evidently the space components of a 4-vector. Hence f must be the space part of
a 4-vector f.
The other components of f yield similar results, showing that (11.126) can be
written as f = | F.J., k = 1,2,3 (11.128) C The right-hand side of (11.128) is
evidently the space components of a 4-vector. Hence f must be the space part of
a 4-vector f.
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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 |