Abstract

The asymptotic expansions of the scattering amplitude at high energy obtained previously for a Schrodinger equation of motion, are extended to the cases of a Dirac and Klein-Gordon particle. The method followed here is based on the extension of the so called Grel’fand and Levitan operator which gives a uniform connection of two complete bases in the Hilbert space. A compact expression for the general term of the expansion is found. This allows its evaluation by means of recurrence relations.

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