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  • $\begingroup$ Very elegant formulation of the problem. I don't know if it would work or not, but the Magnus representation of the propagator might be useful here since the commutators are "nice". $\endgroup$ Commented Jan 9, 2017 at 16:03
  • $\begingroup$ Thanks, half-baked unfortunately. The Magnus representation is indeed what one defaults to eventually, but it takes some work. $\endgroup$ Commented Jan 9, 2017 at 22:39