The nonlinear superposition principle and the Wei-Norman method
Carinena, J. F. ; Marmo, G. ; Nasarre, J.
arXiv, 9802041 / Harvested from arXiv
Text on arXiv
Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei-Norman method is applied to obtain the associated differential equation in the group $SL(2,R)$. The superposition principle for first order differential equation systems and Lie-Scheffers theorem are also analysed from this group theoretical perspective. Finally, the theory is applied in the solution of second order differential equations like time-independent Schroedinger equation
Publié le : 1998-02-21
Classification:  Mathematical Physics 
@article{9802041,
     author = {Carinena, J. F. and Marmo, G. and Nasarre, J.},
     title = {The nonlinear superposition principle and the Wei-Norman method},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802041}
}

Carinena, J. F.; Marmo, G.; Nasarre, J. The nonlinear superposition principle and the Wei-Norman method. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802041/