| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4633346 | Applied Mathematics and Computation | 2009 | 6 Pages |
Abstract
We are presenting a family of trigonometrically fitted partitioned Runge–Kutta symplectic methods of fourth order with six stages. The solution of the one-dimensional time independent Schrödinger equation is considered by trigonometrically fitted symplectic integrators. The Schrödinger equation is first transformed into a Hamiltonian canonical equation. Numerical results are obtained for the one-dimensional harmonic oscillator and the exponential potential.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Th. Monovasilis, Z. Kalogiratou, T.E. Simos,