Abstract
Superconvergent sum rules are written for the optical constants of nonmagnetic materials. First a generalization of some results of Altarelli et al. is attained by means of the Liu and Okubo technique. In particular, we have a set of inequalities. Second, new superconvergent sum rules are obtained by considering suitable powers of the optical constants. They are characterized by strong damping for the high frequencies of the superconvergent sum rules. Sum rules involving higher powers of the electric conductivity are also indicated.
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