Journal article

Publication year: 1993

Pages: 2047-2060

Journal: Journal of physics. A: Mathematical and general

Volume number: 26

Issue number: 8

ISSN: 0305-4470

DOI Link: https://doi.org/10.1088/0305-4470/26/8/025

Publisher: IOP Publishing Ltd

Abstract: 
The inverse problem in the framework of the algebraic scattering theory (AST) is concerned with the derivation of potentials from an algebraic Hamiltonian connected with an algebraically determined S-matrix. We investigate the inverse problem for two kinds of dynamical symmetries, based on the groups SO(1, 3) and SO(2, 3), which have been proposed for an algebraic description of heavy ion scattering. Two different inversion schemes are presented yielding potentials for the SO(1, 3)- and the SO(2, 3)-problem. In the case of the SO(2, 3)-symmetry a potential results which depends on the momentum operator and, therefore, can be interpreted as a non-local interaction.

Harvard Citation style: ZIELKE, A. and SCHEID, W. (1993) THE INVERSE PROBLEM FOR HEAVY-ION SCATTERING IN THE FRAMEWORK OF THE ALGEBRAIC SCATTERING-THEORY, Journal of physics. A: Mathematical and general, 26(8), pp. 2047-2060. https://doi.org/10.1088/0305-4470/26/8/025

APA Citation style: ZIELKE, A., & SCHEID, W. (1993). THE INVERSE PROBLEM FOR HEAVY-ION SCATTERING IN THE FRAMEWORK OF THE ALGEBRAIC SCATTERING-THEORY. Journal of physics. A: Mathematical and general. 26(8), 2047-2060. https://doi.org/10.1088/0305-4470/26/8/025