Maple procedures for the coupling of angular momenta. VII. Extended and accelerated computations Original Research Article

During recent years, much attention in developing general-purpose, computer–algebra systems was focused not only on better symbolic algorithms but, to a very similar extent, also on fast numerical computations and improved tools for visualization. Behind this development, of course, the main idea is to provide the users with a single environment for the solution of their scientific or engineering tasks. In a revised version of the Racah program, we follow this idea and provide a fast and much extended access to the standard quantities from the theory of angular momentum within the framework of Maple. In this revision, emphasis is paid to the efficient computation of the standard quantities by supporting both, the default software model as well as fast (hardware) floating-point computations. Moreover, Racah is now organized and distributed as a Maple module which can be installed and utilized like any other module, including help pages and the use of internally recognized data structures. The present extension of the Racah program may therefore enlarge the range of applications considerably towards problems from quantum optics, collision theory or even solid-state physics.