A Family of Trigonometrically-fitted Partitioned Runge-Kutta Symplectic Methods

Journal Article · Wed Dec 26 00:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2835990· OSTI ID:21049442

Monovasilis, Th ^[1]; Kalogiratou, Z ^[2]; Simos, T E ^[3]

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1. Department of International Trade, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 (Greece)
2. Department of Informatics and Computer Technology, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 (Greece)
3. Department of Computer Science and Technology, Faculty of Science and Technology, University of Peloponnessos (Greece)

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 Schroedinger equation is considered by trigonometrically fitted symplectic integrators. The Schroedinger equation is first transformed into a Hamiltonian canonical equation. Numerical results are obtained for the one-dimensional harmonic oscillator and the exponential potential.

• OSTI ID: 21049442
• Journal Information: AIP Conference Proceedings, Vol. 963, Issue 2; Conference: ICCMSE 2007: International conference on computational methods in science and engineering, Corfu (Greece), 25-30 Sep 2007; Other Information: DOI: 10.1063/1.2835990; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HAMILTONIANS
HARMONIC OSCILLATORS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
QUANTUM MECHANICS
RUNGE-KUTTA METHOD
SCHROEDINGER EQUATION