From time-ordered products to Magnus expansion

DOI10.1063/1.533304zbMath0979.81039OpenAlexW2008199625MaRDI QIDQ2738006

No author found.

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533304

zbMATH Keywords

absolute convergencerecursive algorithmnested commutators

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Lie algebras and Lie superalgebras (17B99)

Related Items

Rota-Baxter algebras and new combinatorial identities, HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY, On the Fer expansion: applications in solid-state nuclear magnetic resonance and physics, On the Floquet-Magnus expansion: applications in solid-state nuclear magnetic resonance and physics, Convergence of the exponential Lie series, Dendriform equations, Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems, A Magnus- and Fer-type formula in dendriform algebras., A representation theorem for smooth Brownian martingales

Cites Work

• The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
• Dynkin’s method of computing the terms of the Baker–Campbell–Hausdorff series
• On the solution of linear differential equations in Lie groups
• Decomposition of time-ordered products and path-ordered exponentials
• On the existence of the exponential solution of linear differential systems
• Magnus and Fer expansions for matrix differential equations: the convergence problem
• The Baker–Campbell–Hausdorff formula and nested commutator identities
• Note on the Global Validity of the Baker-Hausdorff and Magnus Theorems
• Exponential Operators and Parameter Differentiation in Quantum Physics
• On the exponential solution of differential equations for a linear operator