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[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


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


where is a constant.

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


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