The nonlinear superposition principle and the Wei-Norman method

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dc.creatorCarinena, J. F.
dc.creatorMarmo, G.
dc.creatorNasarre, J.
dc.date1998-02-21
dc.date.accessioned2026-07-07T11:36:45Z
dc.date.available2026-07-07T11:36:45Z
dc.descriptionGroup 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
dc.identifierhttps://arxiv.org/abs/physics/9802041
dc.identifierhttp://arxiv.org/abs/physics/9802041
dc.identifierInt.J.Mod.Phys.A13:3601-3627,1998
dc.identifierdoi:10.1142/S0217751X98001694
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199028
dc.subjectMathematical Physics
dc.titleThe nonlinear superposition principle and the Wei-Norman method
dc.typetext

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