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A general decomposition theory of ordered exponentials is presented by reducing the problem to the decomposition of ordinary exponential operators in terms of the super-operator 9 defined by F(t)exp(dt9)G(t) = F(t+ dt)G(t). It is proved that f t+dt T exp (s)ds = expdt((t) + 9). Here T denotes the time ordering.
Masuo Suzuki (Fri,) studied this question.