On the regularization of the Kepler problem

Details On the regularization of the Kepler problem On the regularization of the Kepler problem

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cmaph..84..133k&link_type=abstract

Communications in Mathematical Physics, Volume 84, Issue 1, pp.133-152

Mathematics

Mathematical Physics

26

Scientific paper

An intimate relationship between Moser's regularization [1] and the KS-regularization [3] of the 3-dimensional Kepler problem is established. Explicit formulae linking Moser's and the KS-transformation are obtained in the case of negative as well as in the case of positive energies. As a side result it is shown that the KS-transformation owes its existence to the local isomorphism of SO(2,4) and SU(2,2).

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