Excerpt from Upper Bounds on Scattering Lengths for Static Potentials
Variational methods have proved to be of great value in the theoretical analysis of the problem of the scattering of a particle by a center of force. However, the utility of variational techniques in the more complicated problem of scattering by a compound system is considerably impaired by the fact that it is more difficult, in the many body problem, to construct accurate trial functions, and a variational calculation, using a poor trial function, will generally lead to poor results. In fact, these calculations will only be meaningful when accompanied by an affirmation of validity, using some reliable criterion. It is our purpose to present one such rigorous validity criterion for the case of zero energy scattering. The present discussion will, for the sake of clarity of presentation, be confined to the problem of scattering by'a static potential; the generalization to the more interesting problem in which the scatterer.
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.show more