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Mechanical energy and momentum (e-m) has an equivalent counterpart in electromagnetic energy and momentum (e-m) and vice versa if conservation is assumed for the sum of these two fundamental manifestations of e-m. The classical particle concept is reconsidered in the spirit of Kwal's emphasis on an invariant relation between the e-m tensor and the e-m vector. The notion of a mass-carrying particle is specified by introducing a concept of physical rigidity which permits a straight-forward definition of states of rest and motion of particles and their associated fields. It then follows that an optional electromagnetic interpretation of rest-mass applies to every particle-like object which in a...
A theory of hydromagnetic ionizing waves has been developed which is valid in the region in which gas pressure is negligible, compared with magnetic pressure. The theory takes into account the energy expended in partial ionization of the gas behind the wave. The usual high conductivity boundary condition behind the wave is not employed. The electric field in front of the wave is taken as a parameter. Results of this theory are compared with available experimental measurements, and show good agreement. (Author).
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The prior and post Born matrix elements are used to calculate the cross sections for H( - )(1s2) production in hydrogen atom collisions. In contrast to the original version of this work done by Mapleton in 1960, the plane wave approximation to the Coulomb function is partially corrected. The same H( - ) wave functions are used, and the post cross sections are substantially unaltered. Cross sections calculated with the improved H( - ) wave function as compared with the other H( - ) wave functions are from twenty to thirty-five per cent larger for the prior case and twenty to thirty per cent larger for the post case. The post-prior discrepancy, expressed as a ratio, varies between 0.001 and 0.33. (Author).
The absorption spectrum of the H2 molecule has been studied in the wavelength region 930-840 A with a 6.8-m grazing incidence vacuum spectrograph in combination with the helium continuum. The Lyman and the Werner bands have been extended to their dissociation limits. The results of the rotational analysis of these bands are given. (Author).
Very narrow-band quenched filters used for studying VLF radio signals differ from conventional narrow-band circuits in that both signal and atmospheric noise impulses cause only brief quasi-sinusoidal outputs instead of a prolonged ringing. The random overlapping of these short noise and signal bursts can cause errors in phase measurements. It is shown that the distribution of phase errors can be calculated from the amplitude distribution of the output noise envelope. The properties of the phase distribution are discussed in detail, the computation required in the general case is illustrated by means of a numerical example. A simple 'time-sequential' method for experimentally obtaining typical amplitude distributions is suggested. (Author).
The following paper represents work to date on the deformation method for quadratic programming and thus may be regarded as a sequel to Zahl, S. (1964) A Deformation Method for Quadratic Programming, Research Note AFCRL-63-132. It gives an explanation of a modified Iverson programming language and uses this to give a detailed algorithm for the Zahl Deformation Method of Quadratic Programming.