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[en] A new representation is given for the matrix energy element of an atomic system. Unlike the regular representation, the dependence on the orbital and spin variables is represented in symmetrical form. In this notation the angular parts of the direct and exchange terms coincide, which significantly simplifies all formulae and transformations
[en] An explicit model a la Thomas-Fermi is built which, after being regularized at the origin, is used to illustrate the perturbative nature of the semiclassical density functional series and its connection with the 1/Z expansion
[en] This paper describes how Rutherford deduced the existence of a dense, highly charged nucleus at the heart of the atom and outlines the enormous impact his work has had on science and society. (author)
[en] The limits of nuclear stability have not been reached for most elements. Only for the lightest elements are the minimum and maximum number of neutrons necessary to form an isotope for a given element known. The current limits, novel features of nuclei at these limits as well as the future possibilities of pushing these limits even further will be discussed
[en] The Rutherford scattering experiment plays a central role in working out atomic models in physics and chemistry. Nevertheless, the experiment is rarely performed at school or in introductory physics courses at university. Therefore, we realized this experiment as a remotely controlled laboratory (RCL), i.e. the experiment is set up in reality and can be operated by a computer via the Internet. We present results of measurements and supplementary didactical material. In addition, we make suggestions on how to use the RCL in class and we describe the added value of performing this experiment as an RCL.