Classical Theory of Electricity and Magnetism: (a Course of Lectures) |
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Page 121
... tensor . In a similar way in magnetic fields we may construct a tensor whose divergence gives the force density . We now add up these two stress tensors to write ( using the convention that summation over a repeated index is to be ...
... tensor . In a similar way in magnetic fields we may construct a tensor whose divergence gives the force density . We now add up these two stress tensors to write ( using the convention that summation over a repeated index is to be ...
Page 315
... tensor obeys the conservation principle 7 if J 0 but the canonical tensor is not symmetric . This would not be consistent with angular momentum conservation . The symmetric electromagnetic energy stress tensor is obtained by adding an ...
... tensor obeys the conservation principle 7 if J 0 but the canonical tensor is not symmetric . This would not be consistent with angular momentum conservation . The symmetric electromagnetic energy stress tensor is obtained by adding an ...
Page 316
... tensor reads T " = 1 [ Fra F + μβ με Απ με ( 10 ) The symmetric tensor involves the field tensor Fuv only as distinct from the potential vector and it is therefore gauge invariant . In case the field is not source free , the divergence ...
... tensor reads T " = 1 [ Fra F + μβ με Απ με ( 10 ) The symmetric tensor involves the field tensor Fuv only as distinct from the potential vector and it is therefore gauge invariant . In case the field is not source free , the divergence ...
Contents
The empirical basis of electrostatics | 1 |
Direct calculation of fields | 7 |
dipoles9 The Dirac 8function13 | 13 |
Copyright | |
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angle angular axes axis B₁ boundary conditions calculate called charge density charged particle coil components conductor consider coordinates cos² cose dielectric constant dipole dipole moment direction distance E₁ electric field electromagnetic field electromotive force electron electrostatic equation 16 expression field due field point finite fluid formula frame frequency function gives Hence incident interaction Laplace's equation linear Lorentz Lorentz transformation magnetic field magnitude Maxwell's equations momentum motion normal obtain orthogonal P₁ permanent magnets perpendicular photon plane plasma point charge polarization Poynting vector R₁ radiation field radiation reaction radius refracted region scalar sin² solution spherical surface integral symmetry tensor term theorem theory of relativity transformation transverse uniform vanishes vector potential velocity wave length Απ дв дг ді дх