München 2004 – scientific programme

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A: Atomphysik

A 9: Poster 1

A 9.13: Poster

Tuesday, March 23, 2004, 14:00–16:00, Schellingstr. 3

Use of Racah’s algebra in atomic and molecular physics — •S. Fritzsche¹, B. Fricke¹, G. Gaigalas², A. Surzhykov¹, and M. Tomaselli³ — ¹Universität Kassel, Institut für Physik, D–34132 Kassel, Germany — ²Institute of Theoretical Physics and Astronomy, Vilnius, Lithuania — ³Universität Darmstadt, D–64289 Darmstadt

During recent years, much attention in developing general–purpose, computer–algebra systems was focused not only on symbolic algorithms but, to a rather similar extent, also on fast numerical computations and improved tools for visualization. Behind this development, of course, the central idea is to provide the user with a single environment for the solution of scientific or engineering tasks. — In a revised version of the Racah program [1], here we follow this idea and now facilitate (within the framework of Maple) a much extended access to a large set of standard quantities and functions from the theory of angular momentum and spherical tensor operators [2].

Applications of Racah are expected in a wide range of research areas, including atomic and molecular structure, quantum optics, collision theory or even solid–state physics. Apart from the Clebsch–Gordan coefficients and Wigner n−j symbols, we support the Wigner rotation matrices and D−functions, various (tensorial) types of the spherical harmonics as well as the coefficients of fractional parentage and the reduced matrix elements from the atomic or nuclear shell model.

[1] S. Fritzsche et al., Comput. Phys. Commun., 139, 314 (2001).

[2] S. Fritzsche et al., Comput. Phys. Commun. 153, 424 (2003).