Relativity And the Electron Theory
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; also {Sx, Sy, Si, S„) = p {ux, Uy, Uz, ic)\c, and u — id, ' Remembering that we are using Lorentz's units.
^ See Larmor, " Aether and Matter," pp. 82 ff.
3 It has been pointed out above that Jf^ is an invariant. In changing from the variables (x, y, z, t) to (x', y', z', t') we substitute for dXf the quantity "Qlx, y, z, t) 3(«, y, z, t) .
^-rjy-^dW, and it is easily seen i^^ ^d^^^r^y^-^rjr^^ is umty.
76 RELATIVITY AND THE ELECTRON THEORY the equations of the field become ZFyx dy + dFzx de + ...3F„;.
3« -dx + ■d'Fzy dz + 3F«j, 3« = S^ 'dF„ ■dx + 3F^, dy + 3F„.
■du = s.
■dFxu , ■dx "^ 3Fj,„ 3y 3F,« 3« = s„ 3F„, ^ 3y "*" 3Fj,„ 3^ + m,y ■du = o aF.„ ■dx + 3F„;.
■dz + 'dYx.
du = o %* 3F;,„ 3^ + 'd-?yx ■du = o '*'- 3F„ ■dy + dz = o The symmetrical form of the equations is now obvious. They may be easily shown to have an invariant form, and may be looked upon as the generalization of the vectorial equations of the electro-static field div e = p curl e = o.
What to read after Relativity And the Electron Theory?
You can find similar books in the "Read Also" column, or choose other free books by Ebenezer Cunningham to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
; also {Sx, Sy, Si, S„) = p {ux, Uy, Uz, ic)\c, and u — id, ' Remembering that we are using Lorentz's units.
^ See Larmor, " Aether and Matter," pp. 82 ff.
3 It has been pointed out above that Jf^ is an invariant. In changing from the variables (x, y, z, t) to (x', y', z', t') we substitute for dXf the quantity "Qlx, y, z, t) 3(«, y, z, t) .
^-rjy-^dW, and it is easily seen i^^ ^d^^^r^y^-^rjr^^ is umty.
76 RELATIVITY AND THE ELECTRON THEORY the equations of the field become ZFyx dy + dFzx de + ...3F„;.
3« -dx + ■d'Fzy dz + 3F«j, 3« = S^ 'dF„ ■dx + 3F^, dy + 3F„.
■du = s.
■dFxu , ■dx "^ 3Fj,„ 3y 3F,« 3« = s„ 3F„, ^ 3y "*" 3Fj,„ 3^ + m,y ■du = o aF.„ ■dx + 3F„;.
■dz + 'dYx.
du = o %* 3F;,„ 3^ + 'd-?yx ■du = o '*'- 3F„ ■dy + dz = o The symmetrical form of the equations is now obvious. They may be easily shown to have an invariant form, and may be looked upon as the generalization of the vectorial equations of the electro-static field div e = p curl e = o.
What to read after Relativity And the Electron Theory?
You can find similar books in the "Read Also" column, or choose other free books by Ebenezer Cunningham to read onlineMoreLess
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