Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] abfw_v1_0.gz(16 Kbytes)|
|Manuscript Title: Symbolic lie algebras manipulations using COMMON LISP.|
|Authors: R. Cecchini, M. Tarlini|
|Program title: VSPLAD|
|Catalogue identifier: ABFW_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 52(1989)283|
|Programming language: COMMON LISP.|
|Computer: VAX 11/750.|
|Operating system: VMS 4.X.|
|Keywords: Computer algebra, General purpose, Lie algebra, Symbolic manipulation, Enveloping algebra, Baker-campbell Hausdorff formula, Similarity Transformation.|
|Classification: 4.2, 5.|
Nature of problem:
Symbolic computations on the elements of a given Lie Algebra and its Enveloping Algebra: elements ordering, commutators, evaluation up to a given order of Similarity Transformations, general Baker-Campbell- Hausdorff formula.
We use the general definitions of Vector Space, Lie Algebra and Enveloping Algebra with their properties.
Due to availability of CPU time and memory, in particular for Baker- Campbell-Hausdorff formula.
All the computations are exact, including numerical coefficients; the program can be used in batch mode and interactively, in this case with an optional menu facility and online help. Lisp knowledge is unnecessary.
Varies widely depending on the complexity of the problem, from few seconds to many hours.
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