The Determination of the Scattering Potential From the Spectral Measure Function (Classic Reprint)

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Excerpt from The Determination of the Scattering Potential From the Spectral Measure Function In the present paper we shall show how, in many cases, the potential can be obtained from the spectral measure function if we specify the asymptotic behavior of the eigenfunctions of the total Hamiltonian. The procedure which we shall use will be very general and more abstract than those used previously. We shall assume some very general properties of the unperturbed Hamiltonians instead of restricting ourselves to kinetic energy Operators. Furthermore we shall not require that the perturbation be diagonal in a Specific representa tion. It is hoped that in the future the results which we present here can be used to infer potentials from scattering Operators in an abstract way. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.