Decomposition of Time-Ordered Products and Path-Ordered Exponentials
نویسنده
چکیده
We present a decomposition formula for Un, an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities Cm, which are the integrals of time-ordered commutators of the same operators. The resulting factorization enables a summation over n to be carried out to yield an explicit expression for the time-ordered exponential, an expression which turns out to be an exponential function of Cm. The Campbell-BakerHausdorff formula and the nonabelian eikonal formula obtained previously are both special cases of this result. Typeset using REVTEX 1
منابع مشابه
Time-ordered Products and Exponentials[**]
I discuss a formula decomposing the integral of time-ordered products of operators into sums of products of integrals of time-ordered commutators. The resulting factorization enables summation of an infinite series to be carried out to yield an explicit formula for the time-ordered exponentials. The Campbell-Baker-Hausdorff formula and the nonabelian eikonal formula obtained previously are both...
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