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Proceedings of the Japan Academy, Series B
Vol. 69 (1993) No. 7 P 161-166



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 _??_ defined by F(t)exp(Δt_??_)G(t)=F(t+Δt)G(t). It is proved that T(exp∫t+ΔttH(s)ds)=exp[Δt(H(t)+_??_)]. Here T denotes the time ordering.

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