CP methods for the Schrödinger equation revisited (Q1385051)

The use of MATHEMATICA to manipulate the quadratures deriving from the construction of the solution propagators, when using the CPM (constant perturbation method) for the numerical solution of the Schrödinger equation, makes the method computationally feasible in the form CPM\([N,Q]\), where \(N\) is the number of polynomial terms used for the approximation of the potential and \(Q\) the number of corrections introduced. The advantages in terms of the involved numerical errors and the overall efficiency and superiority of the method over existing codes (CLO2F, SLEDGE, SLEIGN) is documented.