Symplectic methods of fifth order for the numerical solution of the radial Schrödinger equation. (English) Zbl 1044.81031
Summary: In this paper the numerical solution of the radial Schrödinger equation via new proposed symplectic-schemes is investigated. In particular, the radial Schödinger equation is transformed into Hamiltonian canonical form and is solved via symplectic integrators. Based on this approach, fifth-order methods are proposed. We compare these methods with well-known existing symplectic methods. The numerical results show the efficiency of the proposed method.
MSC:
81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
81-08 | Computational methods for problems pertaining to quantum theory |