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

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 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.

Authors:
 [1];  [2];  [3]
  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)
Publication Date:
OSTI Identifier:
21049442
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 963; Journal 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); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIANS; HARMONIC OSCILLATORS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM MECHANICS; RUNGE-KUTTA METHOD; SCHROEDINGER EQUATION

Citation Formats

Monovasilis, Th, Kalogiratou, Z, and Simos, T E. A Family of Trigonometrically-fitted Partitioned Runge-Kutta Symplectic Methods. United States: N. p., 2007. Web. doi:10.1063/1.2835990.
Monovasilis, Th, Kalogiratou, Z, & Simos, T E. A Family of Trigonometrically-fitted Partitioned Runge-Kutta Symplectic Methods. United States. https://doi.org/10.1063/1.2835990
Monovasilis, Th, Kalogiratou, Z, and Simos, T E. 2007. "A Family of Trigonometrically-fitted Partitioned Runge-Kutta Symplectic Methods". United States. https://doi.org/10.1063/1.2835990.
@article{osti_21049442,
title = {A Family of Trigonometrically-fitted Partitioned Runge-Kutta Symplectic Methods},
author = {Monovasilis, Th and Kalogiratou, Z and Simos, T E},
abstractNote = {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.},
doi = {10.1063/1.2835990},
url = {https://www.osti.gov/biblio/21049442}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 2,
volume = 963,
place = {United States},
year = {Wed Dec 26 00:00:00 EST 2007},
month = {Wed Dec 26 00:00:00 EST 2007}
}