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RESEARCH PRODUCT

Floquet theory: exponential perturbative treatment

Fernando CasasJ A OteoJosé Luis Regidor RosJosé Luis Regidor Ros

subject

Floquet theoryLinear ordinary differential equationMagnus expansionScheme (mathematics)Convergence (routing)Mathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical PhysicsExponential functionMathematics

description

We develop a Magnus expansion well suited for Floquet theory of linear ordinary differential equations with periodic coefficients. We build up a recursive scheme to obtain the terms in the new expansion and give an explicit sufficient condition for its convergence. The method and formulae are applied to an illustrative example from quantum mechanics.

yearjournalcountryeditionlanguage
2001-04-10Journal of Physics A: Mathematical and General
https://doi.org/10.1088/0305-4470/34/16/305