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Aufsatz
Elementare Behandlung exponentieller Prozesse
(Inst. für Film und Bild in Wissenschaft und Unterricht, 1980)
Die Unterrichtsschritte, die im Videoband nicht gezeigt werden konnten, werden in diesem Beiheft erläutert: Nach einer "Beschreibung des Themas" wird die "Ausarbeitung der drei Lernsequenzen" am Beispiel des Unterrichts in einer kaufmännischen Berufsschule, einer Berufsfachschule Gesundheitswesen und einer technischen Fachoberschule ausführlich dargestellt.
Aufsatz
Zur Konzeption einer "praktischen Mathematik" in der Berufsschule
(1985)
Ausgehend von zwei Beispielen wird in Abschnitt 1 der derzeitige Fachrechenunterricht in der Berufsschule kurz beschrieben (ausführlichere Analysen sind bei BARDY u, a. 1980 und bei BARDY/BLUM/BRAUN 1985 zu finden). Dann wird in Abschnitt 2 eine eigene Konzeption für den mathematischen Unterricht in der Berufsschule skizziert (ausführlicher ist diese Konzeption bei BLUM 1976 und BLUM 1981 dargestellt) und anhand der einleitenden Beispiele verdeutlicht.
Aufsatz
The problem of the graphic artist
(Blum, Werner (Hrsg.), 1989)
'The problem of the graphic artist' is a small example of applying elementary mathematics (divisibility of natural numbers) to a real problem which we ourselves have actually experienced. It deals with the possibilities for partitioning a sheet of paper into strips. In this contribution we report on a teaching unit in grade 6 as well as on informal tests with students in school and university. Finally we analyse this example methodologically, summarise our observations with pupils and students, and draw some didactical ...
Aufsatz
Test for basis-set errors in relativistic Dirac-Fock-Slater calculations with a numerical AO-DFS-basis
(1987)
A fully relativistic four-component Dirac-Fock-Slater program for diatomics,
with numerically given AO's as basis functions is presented. We discuss the problem of the errors due to the finite basis-set, and due to the influence of the negative energy solutions of the Dirac Hamiltonian. The negative continuum contributions are found to be very small.
Aufsatz
Comparison between experiment and theory in heavy electronic systems
(Gräff, G. (Hrsg.), 1981)
Aufsatz
Relativistic many-electron SCF correlation diagram for Pb-Pb
(Fabian, Derek J. (Hrsg.), 1981)
Aufsatz
Hyperfine structure and isotopic shift of the n^2 P_J levels (n = 7-10) of ^203,205 TI measured by Doppler-free two-photon spectroscopy
(1988)
Using Doppler-free two-photon absorption spectroscopy, we have measured hyperfine splitting constants as well as isotopic level shifts of the 6s^2 np ^2 P_l/2,3/2 states in (n=7-10) in ^203 TI and ^205 TI.
Calculations for hyperfine constants and electron density at the nucleus have been performed by the Dirac-Fock method. The experimental results are compared with these calculations as well as with
the predictions of the semiempirical theory.
Aufsatz
Ground state correlation energy of the Be-sequence for Z = 4-20 in MCDF approximation
(1989)
The ground state (J = 0) electronic correlation energy of the 4-electron Be-sequence is calculated in the Multi-Configuration Dirac-Fock approximation for Z = 4-20. The 4 electrons were distributed over the configurations arising from the 1s, 2s, 2p, 3s, 3p and 3d orbitals. Theoretical values obtained here are in good agreement with experimental correlation energies.
Aufsatz
Estimation of the ground state correlation energy for isoelectronic series of 2 to 20 electrons
(1987)
Correlation energies for all isoelectronic sequences of 2 to 20 electrons and Z = 2 to 25 are obtained by taking differences between theoretical total energies of Dirac-Fock calculations and experimental total energies. These are pure relativistic correlation energies because relativistic and QED effects are already taken care of. The theoretical as well as the experimental values are analysed critically in order to get values as accurate as possible. The correlation energies obtained show an essentially consistent ...