Field on Poincare group and quantum description of orientable objects

We propose an approach to the quantum-mechanical description of relativistic orientable objects. It generalizes Wigner's ideas concerning the treatment of nonrelativistic orientable objects (in particular, a nonrelativistic rotator) with the help of two reference frames (space-fixed and body-fixed). A technical realization of this generalization (for instance, in 3+1 dimensions) amounts to introducing wave functions that depend on elements of the Poincare group $G$. A complete set of transformations that test the symmetries of an orientable object and of the embedding space belongs to the group $\Pi =G\times G$. All such transformations can be studied by considering a generalized regular representation of $G$ in the space of scalar functions on the group, $f(x,z)$, that depend on the Minkowski space points $x\in G/Spin(3,1)$ as well as on the orientation variables given by the elements $z$ of a matrix $Z\in Spin(3,1)$. In particular, the field $f(x,z)$ is a generating function of usual spin-tensor multicomponent fields. In the theory under consideration, there are four different types of spinors, and an orientable object is characterized by ten quantum numbers. We study the corresponding relativistic wave equations and their symmetry properties.Comment: 46 page

Separation of isotopes. Annual technical progress report

The chemical exchange reaction between carbon dioxide (CO/sub 2) and carbamate of di-n-butylamine (R/sub 2/NCOOO plus or minus HR/sub 2/) in triethylamine as a solvent results in a concentration of /sup 13/C in the liquid phases and /sup 18/O in the gas phase. A solvent carrier system with thermal reflux has been investigated and the results are summarized. Based on these studies, a six section cascade was designed for the preparation of high concentrations of /sup 13/C. The cascade was successfully operated for 240 days to study various startup procedures and other characteristics. During the first 141 days, concentration of /sup 13/C reached a value of 66.9% /sup 13/C. Measurements of single stage separation factors ( alpha ) for different aminecarbamate systems by batch and multistage techniques is being continued. Preliminary results indicate that alpha is nearer 1.006 than 1.01 assumed previously. Correlations are being made between the effectiveness of amines for the separation of /sup 13/C and their structure, reaction rates and thermodynamic properties as well as the physical characteristics of their solutions. (auth