Mathematics – Mathematical Physics
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..409s&link_type=abstract
Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International
Mathematics
Mathematical Physics
Exponential Representation, Time-Varying Systems, Magnus Expansion, Generalized Bchd Formula
Scientific paper
In this paper we prove the equivalence between the coefficients of the Magnus expansion provided by Mielnik and Plebański in Ref. 17 and the ones given by us in Ref. 22. The Magnus expansion is central to get approximately the exponential solutions of non autonomous linear differential equations. We also introduce the mathematical framework that puts the work of Magnus16 in a precise form (a free Lie algebra structure generated by a continuous set of operators24).
Saenz Leonardo
Suarez Rodolfo
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