Lie algebras associated with the exponential solutions of nonautonomous linear differential equations

DOI10.1063/1.1383558zbMath1039.17004OpenAlexW2035902771MaRDI QIDQ2775052

Leonardo Saenz, Rodolfo Suarez

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1383558

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Linear differential equations in abstract spaces (34G10)

Related Items (5)

HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY ⋮ On expansions for nonlinear systems error estimates and convergence issues ⋮ Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ On the Fer expansion: applications in solid-state nuclear magnetic resonance and physics ⋮ A combinatorial approach to the generalized Baker-Campbell-Hausdorff-Dynkin formula

Cites Work

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• Riccati equations and Lie series
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• The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
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• Runge-Kutta methods on Lie groups
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• Note on the Algebraic Aspect of the Integration of a System of Ordinary Linear Differential Equations
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• The Magnus expansion for classical Hamiltonian systems
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• Exponential Operators and Parameter Differentiation in Quantum Physics
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
• On the exponential solution of differential equations for a linear operator

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