High-algebraic, high-phase lag methods for accurate computations for the elastic- scattering phase shift problem
Keyword(s):
A family of three new hybrid eighth-algebraic-order two-step methods with phase lag of order 16, 18, and 20 are developed for computing elastic-scattering phase shifts of the one-dimensional Schrödinger equation. Based on these new methods, we obtain some new embedded variable-step procedures for the numerical integration of the Schrödinger equation. Numerical results obtained for both the integration of the phase-shift problem for the well known case of the LennardJones potential and the integration of coupled differential equation arising from the Schrödinger equation show that these new methods are better than other finite-difference methods. PACS Nos.: 02.00, 02.70, 03.00, 03.65
1996 ◽
Vol 07
(06)
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pp. 825-835
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2005 ◽
Vol 16
(06)
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pp. 879-894
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1998 ◽
Vol 09
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pp. 1055-1071
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1995 ◽
Vol 10
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pp. 2431-2438
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2016 ◽
Vol 27
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pp. 1650049
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2011 ◽
Vol 22
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pp. 623-634
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2016 ◽
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2016 ◽
Vol 2016
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pp. 1-20
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2016 ◽
Vol 54
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pp. 1835-1862
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