The following report contains two reports to summarize a thesis: first, a report describing the classical moment techniques of Tchebycheff, Markov, and Stieltjes that have been applied to the problem of diagonalizing the Hamiltonian operator; and the second report describes an investigation of the higher-order corrections to the mesic disintegration of deuterons that is considered.

Abstract: "Two parallel wires close together with an arc between them form a hairpin-type of current configuration which should magnetically propel the plasma of the arc. By the time-of-flight measurements with probes it has been demonstrated that directed translational energies of 290 ev can be imparted to deuterons in a plasma produced by a high-current pulsed arc at the tips of two titanium wires loaded with deuterium. It is believed that three deuterons are actually magnetically propelled."

Report discussing experiments conducted under the Livermore "Waldo" project to determine "(1) surface densities attainable in a supersonic mercury vapor jet stream, (2) the approximate efficiency of a mercury jet for neutralizing a proton beam, and (3) the mercury partial pressure contribution in the bore due to side streaming from the mercury jet."

Abstract: This proposal describes a parallel-plate capacitor and the discharge tube with which it is hoped that implosion energies of 1000 eV can be given to deuterons by the pinch effect. The discharge tube is to be arranged so that no external series switch is required.

Abstract: "The self-consistent equations have been found for a plasma which lies in a mainly unidirectional magnetic field, which has a circular symmetry and which has a harmonic variation in the direction of the magnetic field. The equations have been solved in two cases, 1) where the harmonic variation of the field is finite and the plasma is weak, and 2) where the plasma is strong but the harmonic variation of the field is weak. The configurations thus found can form an important starting point for calculations of the stability of plasmas."

Quarterly summary report of studies conducted through the Radiation Laboratory, University of California. Some results reported in the report may be of a preliminary or incomplete nature.

Research at the University of California Radiation Laboratory has been directed toward the development of processes designed to recover plutonium and uranium from neutron-irradiated uranium. This report has been prepared in answer to requests for information by interested workers in the Atomic Energy programs. The material discussed herein represents the efforts of a sizable research group over several years, and summarizes both the current status of the investigation and the future program now contemplated.

The use of thermally fissionable material in the lattice adds a distributed source of fast neutrons which must be considered in evaluating the problem.

Report of progress on the metabolic properties of various materials, biological studies of radiation effects, health chemistry and physics.

The field of mathematics which deals with the construction of charts representing mathematical laws is known as Nomography. Often it is necessary to repeatedly solve mathematical formulae, but with different values for the symbols involved. The manipulation of the formulae, or repeated constructions of graphs, may require considerable work, as well as carry with it the possibility of errors invalidating the results. In such a situation, the construction of a single chart which would serve for all the solutions would obviously be of considerable value.

At high excitation energies, competition of proton and c-particle emission with neutron emission becomes important. For low excitation, the competition between Y-emission, neutron emission, and fission should be taken into account. To aid in the evaluation of this competition an experiment has been performed to measure the number and energy spectrum of the protons and c-particles emitted in the high energy bombardment of uranium with protons, deuterons, and c-particles.