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The Lorentz Integral Transform and its Inversion

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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.

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Authors and Affiliations

  1. Racah Institute of Physics, Hebrew University, 91904, Jerusalem, Israel

    N. Barnea

  2. Russian Research Centre, Kurchatov Institute, 123182, Moscow, Russia

    V. D. Efros

  3. Dipartimento di Fisica, Università di Trento and INFN, Gruppo Collegato di Trento, via Sommarive 14, 38100, Trento, Italy

    W. Leidemann & G. Orlandini

Authors
  1. N. Barnea
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  2. V. D. Efros
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  3. W. Leidemann
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  4. G. Orlandini
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Correspondence to G. Orlandini.

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Barnea, N., Efros, V.D., Leidemann, W. et al. The Lorentz Integral Transform and its Inversion. Few-Body Syst 47, 201–206 (2010). https://doi.org/10.1007/s00601-009-0081-0

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  • DOI: https://doi.org/10.1007/s00601-009-0081-0

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