High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation-Reference-Cited by-同舟云学术

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High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation

Published:2012-10-13 Issue:2 Volume:51 Page:532-555
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Alolyan Ibraheem,Simos T. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/content/pdf/10.1007/s10910-012-0102-y.pdf

Reference114 articles.

1. Ixaru L.Gr., Micu M.: Topics in Theoretical Physics. Central Institute of Physics, Bucharest (1978)

2. Landau L.D., Lifshitz F.M.: Quantum Mechanics. Pergamon, New York (1965)

3. I. Prigogine, S. Rice (eds.), Advances in Chemical Physics Vol. 93: New Methods in Computational Quantum Mechanics (Wiley, , 1997)

4. Herzberg G.: Spectra of Diatomic Molecules. Van Nostrand, Toronto (1950)

5. Simos T.E., Vigo-Aguiar J.: A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. J. Math. Chem. 30(1), 121–131 (2001)

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2. A comparison of pseudospectral methods for the solution of the Schrödinger equation; the Lennard-Jones ( n , 6) potential;Computational and Theoretical Chemistry;2017-08

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4. Trigonometrically fitted high-order predictor–corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation;Journal of Mathematical Chemistry;2014-04-09

5. A Runge–Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation;Journal of Mathematical Chemistry;2013-12-24

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