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0 (3.1) Moreover, we can develop S in its Dyson–Phillips series: ∞t S(t) = Sn(t) where S0(t) = T (t) and Sn+1(t) f = Sn(t − s)Bˆ T (s) ds, n=0 0 (3.2) which converges in the operator norm. Here, all integrals have to be understood in the weak Mb(E...
A strategy is developed for writing the time-dependent Schrödinger Equation (TDSE), and more generally the Dyson Series, as a convolution equation using recursive Fourier transforms, thereby decoupling the second-order integral from the first without using the time ordering operator. The energy dist...