Berlin 2001 – wissenschaftliches Programm

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A: Atomphysik

A 1: Posters Monday (Cluster, Atoms in Fields)

A 1.31: Poster

Montag, 2. April 2001, 12:30–15:00, AT3

A symbolic toolbox for studying the properties of hydrogen–like ions — •T. Inghoff, T. Jacob, S. Fritzsche, and B. Fricke — Fachbereich Physik, Universität Kassel, D–34132 Kassel, Germany.

Today, the ’hydrogen atom’ serves for as one of the key models in understanding modern physics [1]. Its analytic solutions find their applications not only in atomic and molecular physics but also in a wide range of other research areas including quantum optics, plasma physics, or even the theory of quantum fields. Therefore, a fast and save access to the (mathematical) solutions and the properties of hydrogen–like ions is highly desirable. To provide such a simple access, we designed the Dirac package for studying the properties and the dynamical behaviour of hydrogen–like ions. This interactive environment, which is built on Maple V, has been developed during the last years and now supports both, solutions to the relativistic as well as non–relativistic hydrogen atom. Apart from different analytic representations, this program also allows for the direct (or symbolic) computation of many properties, including energy shifts, excitation and ionization cross sections, decay rates, angular parameters, and others. For many–electron atoms and ions, in addition, an approximate description is facilitated by a set of wave functions and information from atomic Thomas–Fermi and Hartree–Fock theory. The interactive design of the Dirac program may help the user not only in daily research work but also in teaching the foundation of hydrogen–like systems at class–room level.

[1] H. A. Bethe und E. E. Salpter, Quantum mechanics of one– and two–electron atoms (Plenum Publishing Corp., New York, 1977)