6533b7dcfe1ef96bd1272815
RESEARCH PRODUCT
On the existence of the exponential solution of linear differential systems
J A OteoP. C. MoanJosé Luis Regidor Rossubject
Series (mathematics)Operator (physics)Magnus expansionMathematical analysisConvergence (routing)General Physics and AstronomyLie groupStatistical and Nonlinear PhysicsRepresentation (mathematics)Mathematical PhysicsDomain (mathematical analysis)MathematicsExponential functiondescription
The existence of an exponential representation for the fundamental solutions of a linear differential system is approached from a novel point of view. A sufficient condition is obtained in terms of the norm of the coefficient operator defining the system. The condition turns out to coincide with a previously published one concerning convergence of the Magnus series expansion. Direct analysis of the general evolution equations in the SU(N) Lie group illustrates how the estimate for the domain of existence/convergence becomes larger. Eventually, an application is done for the Baker-Campbell-Hausdorff series.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 | Journal of Physics A: Mathematical and General |