Article ID Journal Published Year Pages File Type
1901178 Reports on Mathematical Physics 2008 15 Pages PDF
Abstract

We construct a general procedure for obtaining rigged Hilbert spaces in the radial representation for a class of potentials such that these rigged Hilbert spaces are unitarily equivalent to rigged Hilbert spaces of Hardy class functions in the energy representation. We apply the procedure to the spherical shell potential and show that the Hardy hypothesis is consistent with all the physical requirements of potential scattering.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics