Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations

The physical meaning of the particularly simple non-degenerate supermetric, introduced in the previous part by the authors, is elucidated and the possible connection with processes of topological origin in high energy physics is analyzed and discussed. New possible mechanism of the localization of the fields in a particular sector of the supermanifold is proposed and the similarity and differences with a 5-dimensional warped model are shown. The relation with gauge theories of supergravity based in the $OSP(1/4)$ group is explicitly given and the possible original action is presented. We also show that in this non-degenerate super-model the physic states, in contrast with the basic states, are observables and can be interpreted as tomographic projections or generalized representations of operators belonging to the metaplectic group $Mp(2)$. The advantage of geometrical formulations based on non-degenerate super-manifolds over degenerate ones is pointed out and the description and the analysis of some interesting aspects of the simplest Riemannian superspaces are presented from the point of view of the possible vacuum solutions.Comment: Stile of the text improved in Journa

POWER BURSTS IN NUCLEAR REACTORS

It is shown that some of the properties of a power burst in a reactor are independent of either the feedback mechanism or the pile kinetics, and may be described quantitatively with no assumption other than that the pile kinetic equations are nonlinear. The theory refers primarily to the shape of the burst and is applicable chiefly to the faster transients observed in SPERT, KEWB, and B0RAX. The data which may be described theoretically in this manner include plots of maximun reactor power times period against the energy to peak of power burst (SPERT, KEWB), of total energy of burst against the period times the maximum power (BORAX), and of the burst width against period (SPERT). Use of the pile kinetic equations allows one to obtain a simple algebraic expression for the reactivity compensated at the time of peak power as a function of reciprocal period alpha . This expression is in excellent agreement with experiment for the faster SPERT transients and exhibits the correct form of dependence on alpha for the slower transients. It is therefore pointed out that data which may be so simply described without reference to the feedback mechanism do not furnish information about the nature of this mechanism. (auth

Classical mechanics

XVII+388hlm.;22c