High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations

In this paper, we deduce high-order error bounds for exponential operator splitting methods. The employed techniques are specific to linear differential equations of the form u' (t) = A \, u (t) + B \, u (t), t 0, involving an unbounded operator A. In particular, evolutionary Schrödinger equations with sufficiently regular initial values are included in the analysis.