PROGRAM SUMMARY
Title of program:
BORN
Catalogue identifier:
ADJW
Ref. in CPC:
116(1999)78
Distribution format: uuencoded compressed tar file
Operating system: MS Windows 95, Windows NT v 4.0, Unix
High speed store required:
32MK words
Number of lines in distributed program, including test data, etc:
969
Programming language used: Maple
Computer: Pentium 100MHz
Nature of physical 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].
Method of solution
Symbolic algebra using Maple V R4 [1]algebraic computing software.
Restrictions on the complexity of the problem
The complexity of calculating scattering amplitudes, differential and
total cross-sections increases rapidly with increasing n in the target
states.
Typical 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).