University of Cambridge Numerical Analysis Reports Splitting Methods for the Time-dependent Schrr Odinger Equation Splitting Methods for the Time-dependent Schrr Odinger Equation

Cheap and easy to implement fourth-order methods for the Schrr odinger equation with time-dependent Hamiltonians are introduced. The methods require evaluations of exponentials of simple unidimensional inte-grals, and can be considered an averaging technique, preserving many of the qualitative properties of the exact solution. INTRODUCTION. In this work we present new fourth-order geometric