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Larsen, “ Graph rules for functions of the time-evolution operator,” Phys. Steiner, “ Infrared dynamics of quantum electrodynamics and the asymptotic behavior of the electron form factor,” Nucl. Oteo, “ The Baker–Campbell–Hausdorff formula and nested commutators identities,” J. Grensing, “ Generalized Campbell–Baker–Hausdorff formula, path-ordering and Bernouilli numbers,” Z. Bose, “ Dynkin’s method of computing the terms of the Baker–Campbell–Hausdorff series,” J. Dynkin, “ Evaluation of the coefficients of the Campbell–Hausdorff formula,” Dokl. Wei, “ Note on the global validity of the Baker–Hausdorff and Magnus Theorems,” J. Lamberti, “ A note on the Magnus formula,” J. Light, “ On the exponential form of time-displacement operators in quantum mechanics,” J. NA1999/03, University of Cambridge, and references therein.

“Methods for the approximation of the matrix exponential in a Lie-algebraic setting,” DAMTP Technical Report No. NA1998/03, University of Cambridge Google Scholar Iserles, “Approximating the exponential from a Lie algebra to a Lie group,” DAMTP Technical Report No. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965). Wilcox, “ Exponential operators and parameter differentiation in quantum physics,” J. Lam, “ Decomposition of time-ordered products and path-ordered exponentials,” J. Ros, “Improved high order integrators based on the Magnus expansion,” DAMTP Technical Report No. Ros, “ Magnus and Fer expansions for matrix differential equations: The convergence problem,” J. Ros, “ On the existence of the exponential solution of linear differential systems,” J. Stritchartz, “ The Campbell–Baker–Hausdorff–Dynkin formula and solutions of differential equations,” J.

No/rsett, “ On the solution of linear differential equations in Lie groups,” Philos. Salzman, “ Convergence of Magnus and Magnus–like expansions in the Schrödinger representation,” J. Salzman, “ An alternative to the Magnus expansion in time-dependent perturbation theory,” J.

Burum, “ Magnus expansion generator,” Phys. Oteo, “ Recursive generation of higher-order terms in the Magnus expansion,” Phys. Magnus, “ On the exponential solution of differential equations for a linear operator,” Commun. Ince, Ordinary Differential Equations (Dover, New York, 1956). For references to the original papers, see, e.g., E. L.