Abstract
THE dispersion formula of Kramers and Heisenberg is valid for an atomic system the dimensions of which are small compared with the wave-length of incident light. For very short waves the scattering from an atom will of course approach the Compton effect for free electrons; and this has been treated very fully by Dirac and Gordon. A treatment of dispersion theory on the basis of wave mechanics has been given by Schrodinger and Klein, who have also outlined a simple treatment of the Compton effect. Following a procedure rather analogous to that of Klein, it is possible to work out a generalised dispersion formula, holding also for waves short compared with atomic dimensions and making it possible to follow the gradual transformation of ordinary dispersion into the Compton effect.
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