A Phase-fitted Symplectic Partitioned Runge-Kutta Methods for the Numerical Solution of the Schrodinger Equation

摘要

New Symplectic Partitioned Runge Kutta (SPRK) methods with phase-lag of order infinity are derived in this paper. Specifically two new symplectic methods are constructed of second and third algebraic order. The methods are tested on the numerical estimation of the eigenvalues of the Schrodinger equation with several potentials.