Symplectic Methods for the Numerical Solution of the Radial Shrödinger Equation |
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| Authors: | Kostas Tselios TE Simos |
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| Institution: | (1) Department of International Trade, Technological Institute of Western Macedonia at Kastoria, GR-521 00 Kastoria, Greece;(2) Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece |
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| Abstract: | In this paper new symplectic-schemes for the numerical solution of the radial Shrödinger equation are proposed. In particular, symplectic integrators for Hamiltonian systems have been developed. Based on this approach, second- and third-order methods are proposed. These methods are more accurate than the existing ones. We compare these methods not only with the existing symplectic methods, but also with a classical Runge–Kutta–Nyström method. |
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| Keywords: | radial Shrö dinger equation symplectic schemes |
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