Time-dependent approach to scattering by Chebyshev-polynomial expansion and the fast-Fourier-transform algorithm

Jingbo Wang; T.T. Scholz

doi:10.1103/PhysRevA.57.3554

Time-dependent approach to scattering by Chebyshev-polynomial expansion and the fast-Fourier-transform algorithm

Jingbo Wang, T.T. Scholz

Research output: Contribution to journal › Article › peer-review

20 Citations (Web of Science)

Abstract

The lime-dependent Schrodinger equation is solved numerically for scattering of several model potentials. The time evolution operator is approximated to a Chebyshev polynomial expansion and the spacial derivatives are evaluated using the fast-Fourier-transform algorithm. Such a scheme is found to be highly accurate and effective. The results are in excellent agreement with exact values.

Original language	English
Pages (from-to)	3554-3559
Journal	Physical Review A (Atomic, Molecular and Optical Physics)
Volume	57
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.57.3554
Publication status	Published - 1998

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10.1103/PhysRevA.57.3554

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title = "Time-dependent approach to scattering by Chebyshev-polynomial expansion and the fast-Fourier-transform algorithm",

abstract = "The lime-dependent Schrodinger equation is solved numerically for scattering of several model potentials. The time evolution operator is approximated to a Chebyshev polynomial expansion and the spacial derivatives are evaluated using the fast-Fourier-transform algorithm. Such a scheme is found to be highly accurate and effective. The results are in excellent agreement with exact values.",

author = "Jingbo Wang and T.T. Scholz",

year = "1998",

doi = "10.1103/PhysRevA.57.3554",

language = "English",

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AU - Wang, Jingbo

AU - Scholz, T.T.

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AB - The lime-dependent Schrodinger equation is solved numerically for scattering of several model potentials. The time evolution operator is approximated to a Chebyshev polynomial expansion and the spacial derivatives are evaluated using the fast-Fourier-transform algorithm. Such a scheme is found to be highly accurate and effective. The results are in excellent agreement with exact values.

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DO - 10.1103/PhysRevA.57.3554

M3 - Article

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JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

IS - 5

ER -

Time-dependent approach to scattering by Chebyshev-polynomial expansion and the fast-Fourier-transform algorithm

Abstract

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