An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrodinger equation

An embedded Runge-Kutta method with phase-lag of order infinity for the num erical integration of Schrodinger equation is developed in this paper. The methods of the embedded scheme have algebraic orders five and four. Theoret ical and numerical results obtained for radial Schrodinger equation and for coupled differential equations show the efficiency of the new methods.