The Lorentz Integral Transform and its Inversion
Nuclear Theory
2010-05-07 v2
Abstract
The Lorentz integral transform method is briefly reviewed. The issue of the inversion of the transform, and in particular its ill-posedness, is addressed. It is pointed out that the mathematical term ill-posed is misleading and merely due to a historical misconception. In this connection standard regularization procedures for the solution of the integral transform problem are presented. In particular a recent one is considered in detail and critical comments on it are provided. In addition a general remark concerning the concept of the Lorentz integral transform as a method with a controlled resolution is made.
Cite
@article{arxiv.0906.5421,
title = {The Lorentz Integral Transform and its Inversion},
author = {N. Barnea and V. D. Efros and W. Leidemann and G. Orlandini},
journal= {arXiv preprint arXiv:0906.5421},
year = {2010}
}
Comments
10 pages, this version has been made more self-contained