Zum Anfangswertproblem zerfallender Zustände

The probability of decay of a quantum mechanical system is completely determined by the energy spectrum of the initial state. An exponential law of decay is obtained only if the spectrum has a long tail. Since the initial state is spatially localized, the decay energy and decay constant are fixed by the poles of theS-function.     

Paritätsreinheit der Kernzustände in Rb85

Nuclear γ-radiation must be circularly polarized if parity conservation does not hold strictly in nuclear states. From a polarisation measurement of the 513 keV γ-line in Rb⁸⁵ an upper limit for the relative amplitude of the irregular wave function F≦5,5·10^?6 was obtained.

     

Höhere Anregungszustände von Farbzentren

In additively colored KCl, KBr, KI, RbCl, RbBr and RbI the absorption on the short-wave side of the F-band was investigated. Besides the K band three new absorption peaks L₁, L₂ and L₃ were found, all in a fixed relation to the F band. The experimental data indicate that K, L₁, L₂ and L₃ are transitions of the F electron to higher excited states, the three highest of which are conductive states. By comparing the absorption band areas the relative transition probabilities to the different excited states were obtained.     

Schwingungszustände und optische Eigenschaften von Molekelkristallen

A discussion of the Born-Huang theory of dispersion in polar crystals with regard to the internal vibrations of molecular crystals (organic crystals, ionic crystals with complex ions) connects the imaginary part (?″) of the optical dielectric tensor (?)=(?′)?i(?″) with the eigenfrequencies of the vibrations active in absorption and with the direction and magnitude of the transition moments in crystals. The limits are shown, within which this theory gives a Lorentzian line shape, often found in experiment. The propagation of an electromagnetic wave in a strongly absorbing, anisotropic medium and its reflection at crystal boundaries are investigated with special emphasis on the experimental determination of (?). This treatment leads to expressions for (?), which are not limited to the case of weak absorption and which are valid for all crystal symmetries.     

Lokalisierte Schwingungszustände von Punktdefekten im einfach-kubischen Gitter

Frequencies of localized vibrations in a simple cubic lattice are discussed, using a simplified model with nearest neighbour interaction only. The modes are determined by group-theoretical considerations. The frequencies are given in terms of tabulated functions. A substitutional impurity and a vacancy can be described approximately by this model. It turns out that a vacancy does not show localized vibrations. An approximation method is discussed and compared with the exact results. It gives good results if the vibration is strongly localized, and it can easily be extended to other lattices.