Theoretical Physics

University of Liege

Address :

H. Caprasse, Institut de Physique B-5, Sart-Timan, B-4000 LIEGE 1

Research activity :

Computer algebra is seen from the point of view of APPLICATIONS in fundamental  physics.  Especially in Cosmology, General Relativity, Particle Physics and Field Theory. These applications have been done mostly with the package REDUCE are at the origin of several extensions working on top of it. These extensions are conceived in such a way that their range of applicaility goes far beyond the types of problems which have suggested them.

Three packages have been developed either alone or in collaborations. Their are :

• ASSIST: which provides a large number of additional functionalities to the kernel of REDUCE.
• DUMMY which makes the system capable to handle dummy variables and to simplify generic polynomial expressions which contain dummy summations.
• CANTENS which makes REDUCE able to handle indexed objects such as tensors and fields.

These packages are compatible. DUMMY needs ASSIST to work properly and CANTENS needs both ASSIST and DUMMY.

Teaching:

Computer algebra is taught mainly to physics student interested in theoretical physics. It is based on a book written in french recently edited by HERMES under the title

Calcul formel et manipulations qcdiques  

References :   ISBN 2-86601-658-0

                         ISSN 0993-5037

The table of content is available.

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News: 

The latest versions of ASSIST    DUMMY  and   CANTENS  are available. The package CANTENS  is the newest one and is still subjected to frequent updatings.  It exploits and extends the capabilities of DUMMY to find normal forms for polynomial expressions involving dummy summations. It allows to handle indexed objects of various kinds such as

tensors, spinors, Poisson and Lie algebra generators ,

classical and quantum fields.

Moreover, it is the only one we know in the world which can work simultaneously within several (sub-)spaces. Tensor contractions involving invariant tensors such as delta , epsilon and also involving metric tensors are automatically made applying when the key function canonical known to the user of DUMMY is applied. An english documentation is available and a draft of the french version also exists.

compiled versions  of these packages for Windows3.x and Win95 are also available.

           Any further inquiries can be mailed to   

                                                                        H. Caprasse.

The SAC Newsletter gives many and various informations on the pedagogical , scientific and applied aspects of computer algebra.

OPENMATH is a standard to communicate mathematical objects between various programming environmenents and applications. The site contain a list of workgroups interested in the manipulation of mathematical objects .

General informations on MATHEMATICA: MATHEMATICA

General informations on MAPLE: MAPLE

General informations on MuPAD: MuPAD

Do you want to make a calculation with REDUCE ?

Do you want to test REDUCE ?

LAST NEWS

IMACS-ACA conferences of 1998 and 1999 

Physique  Théorique

Institut d'Astrophysique et de Géophysique

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This page is maintained by  H. Caprasse.

Institut de physique , SART TILMAN, B-4000 LIEGE  (BELGIQUE)