Published January 28, 2008 | Version v1
Journal article Metadata-only

Computation of the eigenvalues of the Schroedinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods

Creators

  • 1. Department of Computer Science and Technology, Faculty of Science and Technology, University of Peloponnesos (Greece)
  • 2. Department of International Trade, Technological Educational Institute of Western Macedonia, PO Box 30, GR-52100 Kastoria (Greece)
  • 3. Department of Informatics and Computer Technology, Technological Educational Institute of Western Macedonia, PO Box 30, GR-52100 Kastoria (Greece)

Description

In this Letter we present an explicit symplectic method for the numerical solution of the Schroedinger equation. We also develop a modified symplectic integrator with the trigonometrically fitted property based on this method. Our new methods are tested on the computation of the eigenvalues of the one-dimensional harmonic oscillator, the doubly anharmonic oscillator and the Morse potential

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2007.08.012

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.08.012;
PII
S0375-9601(07)01184-X;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
372
Journal Issue
5
Journal Page Range
p. 569-573
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39092661
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANHARMONIC OSCILLATORS; CALCULATION METHODS; EIGENVALUES; HARMONIC OSCILLATORS; MORSE POTENTIAL; ONE-DIMENSIONAL CALCULATIONS; RUNGE-KUTTA METHOD; SCHROEDINGER EQUATION
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; WAVE EQUATIONS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.