A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

摘要

In this paper we develop a new hybrid method of high order with phase-lag and its first, second and third derivatives equal to zero. For the produced method we study its error and stability. We apply the newly obtained method to the Schrödinger equation. The application shows the efficiency of the new produced method.