We present a description and an implementation of a program in COMMON LISP to perform symbolic computations in a given Lie algebra. Using the general definitions of vector space Lie algebra and enveloping algebra, the program is able to compute conunutators, to evaluate similarity transformations an
Symbolic superalgebra manipulations using common lisp
โ Scribed by R. Cecchini; M. Tarlini
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 291 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0010-4655
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โฆ Synopsis
We present a description and an implementation of a program in COMMON LISP to perform symbolic computations in a given Lie superalgebra. Using the results of our previous paper, the program is able to compute commutators, to evaluate similarity transformations and the general Baker-Campbell-Hausdorff formula in the general framework of the Z 2 graded algebras. The parameters are defined as Grassmann or even and treated symbolically. It is possible to perform calculations on finite super Poisson algebras. For the interactive user an optional menu facility and online help are available. LISP knowledge is unnecessary.
๐ SIMILAR VOLUMES
The calculation of molecular integrals is extremely important for applications to such diverse areas as statistical mechanics and quantum chemistry. A careful derivation of a method for calculating primitive Gaussian integrals originally proposed by Obara and Saika is presented. The basic recursion