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Improved Method for Quantum-mechanical Three-body Problems
The quantum-mechanical ground-state problem for three identical particles bound by attractive inter-particle potentials is discussed. For this problem it has previously been shown that it is advantageous to write the wave function in a special functional form, form which an integral equation which is equivalent to the Schrodinger equation was derived. In this paper a new method for solving this equation is presented. The method involves an expansion of a two-body problem with a potential of the same shape as the inter-particle potential in the three-body problem, but of enhanced strength.
A Study of Band Edge Distortion in Heavily Doped Germanium
Details of the energy band structure of degenerate n-type germanium were determined by analysis of fine structure in the 4.2K volt-ampere characteristic of germanium tunnel diodes. No shift in the relative energy of the conduction band minima was observed. The band edge is found to be exponentially distributed with 1/e energies of the order of 10 MeV. There appears to be an ordering mechanism among the group V impurity atoms used as substrate dopants. (Author).
Electrophoretic Power Generation in Thermally Ionized Plasmas
Druyvesteyn's solutions for electrophoretically induced gas flows in electrical discharges in gases were extended over a larger pressure range and corrected for the influence of Debye shielding effects. The effects of molecular or 'slip' flow were also taken into account. These more accurate and general solutions were applied to the reverse phenomenon of space charge field generation arising from the flow of a thermally ionized cesium plasma through a tube. Under such flow conditions, a non-linear differential equation for the axial pressure distribution was obtained but not solved. However, it was possible to obtain estimates of the ranges of cesium pressure, temperature and tube radii which would be required for sensible levels of electric power generation. Anaphoretic flow power levels of the order of 0.1 to 10 watts, in tubes of laboratory dimensions (radii of 10 cm or less), appear feasible at temperatures from 1700 to 2400K. Sensible power generation levels at lower temperatures require very large diameter tubes, and therefore are not feasible. (Author).
