Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] adjw_v1_0.tar.gz(23 Kbytes) | ||
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Manuscript Title: Analytic first Born atomic scattering: a computer algebra solution
using Maple V. | ||

Authors: A.J. Blackett, A.T. Stelbovics | ||

Program title: BORN | ||

Catalogue identifier: ADJW_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 116(1999)78 | ||

Programming language: Maple. | ||

Computer: Pentium 100MHz. | ||

Operating system: MS Windows 95, Windows NT v 4.0, Unix. | ||

RAM: 32M words | ||

Keywords: Computer algebra, Born approximation, Atomic scattering, Symbolic computing. | ||

Classification: 5. | ||

Nature of problem:Computation of analytic expressions in atomic scattering for scattering amplitudes, differential cross-sections and total cross-sections for electron scattering from hydrogenic ions in the first Born approximation [2,3]. | ||

Solution method:Symbolic algebra using Maple V R4 [1]algebraic computing software. | ||

Restrictions:The complexity of calculating scattering amplitudes, differential and total cross-sections increases rapidly with increasing n in the target states. | ||

Running time:Running times vary depending on the calculation and the initial and final states of the target. Scattering amplitudes take the least time to compute, while total cross-sections take the longest. Selecting the no simplification option improves the speed of calculating differential and total cross-sections, but the resulting expression is often extremely large. On a Pentium 100MHz machine, results for typical scattering amplitudes can be returned within a few seconds. Total cross-section calculations can take 300 seconds or longer. | ||

References: | ||

[1] | B.W. Char, K.O. Geddes, G.H. Gonnet, B.L. Leong, M.B. Monagan and S.M. Watt, Maple V Library Reference Manual (Springer-Verlag, New York, 1991). | |

[2] | L.I. Schiff, Quantum mechanics (3rd ed.) (McGraw-Hill Book Company, New York, 1968). | |

[3] | L.D. Landau and E.M. Lifshitz, Quantum mechanics (non-relativistic theory) (3rd rev. ed.) (J.B. Sykes and J.S. Bell, Trans.) (Pergamon Press, Oxford, 1987). |

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