An Exact Formulation of the Time-Ordered Exponential using Path-Sums

P. -L. Giscard, K. Lui, S. J. Thwaite +1

We present the path-sum formulation for $\mathsf{OE}[\mathsf{H}](t^{\prime },t)=\mathcal{T}\text{exp}({\int }_t^{t^{\prime }}\mathsf{H}(\tau )d\tau )$, the time-ordered exponential of a time-de…