A Swiss army knife for dealing with the hydrogen atom model

Since its release in 2004, the Dirac program has become a staple in the diet of studies on the structure and behaviour of hydrogen-like ions. With the help of this program, originally developed as a set of Maple procedures, a number of investigations were recently performed on the charge transfer in relativistic ion-atom collisions, the radiative transitions in high-Z projectiles and the spin entanglement phenomena in atomic photoionization. Here, we present a new version of the Dirac package which is designed within the framework of Mathematica. While retaining all previous capabilities, the new version includes many new features and improvements. In particular, the new Mathematica procedures support the symbolic and numerical evaluation of the two-photon transition rates, Coulomb excitation cross sections and polarization properties of characteristic radiation, to name just a few. Furthermore, a built-in and interactive help system will ensure new users of Dirac can exploit the program's potential with greater ease than its predecessor.