Stochastische theorie der magnetischen relaxation. II

A stochastic theory of magnetic relaxation developped in a former work is expanded. As an application the longitudinal nuclear spin-spin-relaxation in solids and spinlattice-relaxation in liquids are treated. Oscillating relaxation functions are calculated. The results are in good agreement with experimental measurements at CaF₂.     

Die EINSTEIN-Gruppe und die Symmetrie-Gruppen der Gravitationstheorie

The transformations x^?α = x^?α(x^β, g_μn?) in the function space of the g_μn?(x^λ) are corresponding to the coordinate transformations x^α = x^α(x^β) with some non-covariant conditions on the g_μn?(x^λ). Therefore, the transformations in the function space are corresponding to subgroups of the EINSTEIN group. The conditions for the g_μn? may be given in the space- time V₄ or on submanifolds (points, curves, surfaces and hypersurfaces) of the V₄. – A special case of the last problem is given by the CAUCHY conditions or by the DIRAC constraints for a special choice of the coordinates on a CAUCHY hypersurface x⁰ = 0. Then, the transformations x^?α = x^?α(x^l, g_rs, p^mn) in the phase space are EINSTEIN transformations preserving the synchronicity for x⁰ → 0.     

Über die Expansion der Milchstraße und die Deutung der Weberschen Gravitations-Signale

The expansion of the galaxy seeming to be detected by Kerr can probably not be explained as resulting from a rapid diminution of the central mass of the galaxy (this hypothesis being put forward by Field, Rees, Sciama). But it follows as a consequence from the scalar-tensor theory of gravitation (as developed by Jordan, Thiry, Brans-Dicke) if the value \(\dot f/f = - \varepsilon\) , as taken from the difference between ephemeris time and inertial time, has the correct order of magnitude. The events in the nucleus of the galaxy, triggering the Weber signals, must probably be collisions between neutron stars and normal stars.     

Die quantenmechanische Interpretation der allgemeinkovarianten Dirac-Gleichung und die 8-parametrische Gruppe der Spinor-Transformationen

The Quantum Mechanical Interpretation of the General-covariant Dirac Equation and the 8-Parametrical Group of the Spinor-Transformation With respect to nonunimodular spinor-transformations covariant Dirac equation is investigated. It is shown, that even in the flat space-time in cartesian coordinates this equation can only be interpreted as a quantum mechanical equation of motion in the position representation if the basis spanning the Hilbert space is given by a nonorthonormal set of vectors.     

Über die Konvergenz der Transportintegrale und Elektron-Elektron-Streuung in Metallen

In contrast to the scattering of electrons by phonons or impurities, the relaxation time for electron-electron scattering is strongly energy dependent. For this reason the normal expansion for the transport integrals in the vicinity of the Fermi energy converge very poorly (alternating signs). Nevertheless, the usual approximation in which only the first non-vanishing terms of the series are taken into account, yields results which differ from the exact numerical values by at most a factor 2. The inclusion of further terms in the series expansion, however, may lead to negative, and physically unrealistic expressions.     

Die Organisation und die Entwicklung der Direktion N„Isotop“

Bis zur Bildung der Direktion ?Isotop“ wurden in der Volksrepublik Bulgarien Radioisotopengeräte durch verschiedene Institute und Laboratorien entwickelt. In jener Etappc trugen die einschlägigen Forschungs- und Entwicklungsarbeiten der Laboratorien und Institute einen unsystematischen Charakter; sie waren nicht koordiniert und entsprachen nur teilweise den Erfordernissen der Volkswirtschaft. Deshalb ergab sich die Notwendigkeit, eine zentrale Organisation zu schaffen, die die Arbeiten auf dem Gebiet der Anwendung radioaktiver Nuklide zusammenfaßt und leitet.     

Das gravische Wechselwirkungspotential und die Korrekturen der GAUSSschen Gravitationskonstanten in der nach-NEWTONschen Näherung klassischer und relativistischer Gravitationstheorien

We are giving the LAGRANG ians and the interaction potentials for the post-NEWTON ian approximation of the one-body problem according to the classical and the relativistic theories of gravitation. From these interaction potentials we are finding the general formulas for the post-NEWTON ian corrections to KEPLER 's laws and to the GAUSS ian gravitation constant with corresponding corrections for the astronomical distances. These corrections give an absolute measure of the differences between “dynamically equivalent” gravitation theories.     

Einfluß der Schalenstruktur und der Paarung auf die Dichte der Energiezustände von Atomkernen

The density of nuclear single particle states is calculated within the framework of the spherical oscillator model including spinorbit and pairing interactions. The use of the oscillator energies leads to a strong influence of shell-effects on the level density which are slightly reduced, if pairing interactions are taken into account.