Zur Klassifikation der Zustände des 5-dimensionalen harmonischen Oszillators

A classification of the eigenstates of the harmonic quadrupole oscillator is given within the framework of the Lie-AlgebraB ₂ ofR(5). There still exists the problem of complete classification, since the multiplicityd _v (l ₂) for seniority numbersv≧6 may be greater than one. For these multiplicitiesd _v (l ₂) easily managable recursion formulae are derived and therefore their explicit calculation for arbitraryv andl ₂ is easily possible.     

Eine Bemerkung zur Spin-Spin-Wechselwirkung im Wasserstoffatom

In this paper, the magnetic hyperfine structure of the hydrogen ground state is derived from non-relativistic quantum mechanics and is thus shown to be not an essentially relativistic effect as it might appear from previous derivations.     

Bemerkung zur wellenmechanischen Behandlung des H-Atoms mittels Laplace-Transformation

In an earlier paper, the radial eigenfunctionsR=R _n, _l (p) of theH-atom were determined by means of the Laplace Transform. They were obtained this way in a series-representation. The present work completes the foregoing considerations: It will be shown that the well known closed expression (23) forR can be obtained directly (i.e. without emploing any tables) but using only three rules of the Laplace Transform.