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electrodynamics / Electromagnetic Field Theory - Bo Thide

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183

 

polarisation currents, 90 polarisation potential, 105 polarisation vector, 105 positive definite, 58 positive definite norm, 55 potential energy, 77, 176 potential theory, 106 power flux, 93

Poynting vector, 93 Poynting's theorem, 92 Proca Lagrangian, 85 propagator, 39

proper time, 56 pseudoscalar, 159 pseudoscalars, 170 pseudotensor, 159 pseudotensors, 170 pseudovector, 65, 159, 170

quadratic differential form, 56, 167 quantum mechanical nonlinearity, 3

radiation field, 46, 49, 118 radiation fields, 97 radiation gauge, 38 radiation resistance, 103 radius four-vector, 53 radius vector, 159

raising of index, 164 rank, 162

rapidity, 60 refractive index, 140

relative electric permittivity, 94 relative magnetic permeability, 94 relative permeability, 140 relative permittivity, 140 Relativity principle, 51 relaxation time, 25

rest mass density, 81 retarded Coulomb field, 49

Draft version released 13th November 2000 at 22:01.

retarded potentials, 41 retarded relative distance, 113 retarded time, 41 Riemannian metric, 56 Riemannian space, 54, 160 row vector, 159

scalar, 159, 173 scalar field, 57, 161 scalar product, 167 shock front, 144 signature, 54

simultaneous coordinate, 121 skew-symmetric, 66

skin depth, 30 source point, 3

space components, 55 space-like interval, 56 space-time, 55

special theory of relativity, 51 spherical Bessel function of the first

kind, 106

spherical Hankel function of the first kind, 106

spherical waves, 99 super-potential, 105 synchrotron radiation, 134, 137

synchrotron radiation lobe width, 135

telegrapher's equation, 27, 140 temporal dispersive media, 10 temporal gauge, 38

tensor, 159

tensor contraction, 164 tensor field, 162 tensor notation, 163 tensor product, 169

three-dimensional functional derivative, 79

time component, 55

Downloaded from http://www.plasma.uu.se/CED/Book

 

 

184

MATHEMATICAL METHODS

 

time-harmonic wave, 25 time-independent diffusion equation,

26

time-independent telegrapher's equation, 29

time-independent wave equation, 26 time-like interval, 56

total charge, 87 transverse components, 27 transverse gauge, 38

vacuum permeability, 5 vacuum permittivity, 2 vacuum polarisation effects, 3 vacuum wave number, 26

ˇ

Vavilov-Cerenkov radiation, 142, 144 vector, 159

vector product, 170 velocity field, 118

virtual simultaneous coordinate, 114, 118

wave vector, 28, 140 world line, 58

Young's modulus, 77

Yukawa meson field, 84

Downloaded from http://www.plasma.uu.se/CED/Book

Draft version released 13th November 2000 at 22:01.