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Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation |
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| Authors: | Th Monovasilis Z Kalogiratou Th Monovasilis T E Simos |
| Institution: | (1) Department of International Trade, Technological Educational Institute of Western Macedonia at Kastoria, P.O. Box 30, GR-521 00 Kastoria, Greece;(2) Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece;(3) Amfithea - Paleon Faliron, 26 Menelaou Street, GR-175 64 Athens, Greece |
| Abstract: | The solution of the one-dimensional time-independent Schr?dinger equation is considered by exponentially fitted symplectic integrators. The Schr?dinger equation is first transformed into a Hamiltonian canonical equation. Numerical results are obtained for the one-dimensional harmonic oscillator and the doubly anharmonic oscillator. |
| Keywords: | eigenvalue problem Schr?dinger equation symplectic methods exponentially and trigonometrically fitted |
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