Page:BatemanElectrodynamical.djvu/10

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282
[March 11,
Mr. H. Bateman

limited by the condition that the total charge on a system of particles is invariant. This is expressed analytically by the equation

(1)

provided the axes form a right-handed system in each case.

If the transformation is such that the integral equations of the theory of electrons are invariant, we must have

(2)

where is a constant.

These relations give two sets of equations connecting the quantities with viz.,

(3)

In order that these equations may be equivalent to one another[1] we must


  1. It is assumed here that the equations of transformation are independent of