Geodesic
An equation for disentangling time-ordered exponentials with arbitrary quadratic generators
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 331-336

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An ordinary differential equation on the Lie matrix algebra is found by the Weyl analysis methods, which is invariant under the adjoint action of the dynamic symmetry group of the quadratic Hamiltonian. The equation can replace the operator evolution equation for the Green function. 
@article{TMF_1987_71_3_a1,
     author = {V. G. Budanov},
     title = {An equation for disentangling time-ordered exponentials with arbitrary quadratic generators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {331--336},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a1/}
}
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V. G. Budanov. An equation for disentangling time-ordered exponentials with arbitrary quadratic generators. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 331-336. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a1/