Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901178 | Reports on Mathematical Physics | 2008 | 15 Pages |
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.
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Mathematical Physics