Proceedings of the Japan Academy, Series B
Online ISSN : 1349-2896
Print ISSN : 0386-2208
General Decomposition Theory of Ordered Exponentials
Masuo SUZUKI
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1993 Volume 69 Issue 7 Pages 161-166

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Abstract

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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