Now showing items 1-10 of 54
Spheroidal analysis of Coulomb scattering
(AIP Publishing, 1974-05)
In studying the spheroidal problem of a charged particle scattered by two charged centers, we have had to deal with a differential equation. Its solution was complicated. In this paper, we study a very similar differential ...
Solution of multigroup transport equation in Lp spaces
(AIP Publishing, 1976-11)
The isotropic multigroup transport equation is solved in L p , p_1, for both half range and full range problems, using resolvent integration techniques. The connection between these techniques and a spectral decomposition ...
Uniqueness of solutions to the linearized Boltzmann equation
(AIP Publishing, 1978-01)
Uniqueness theorems are proved for the linearized Boltzmann equation for both the ’’exterior’’ and ’’interior’’ problems under generalized Maxwellboundary conditions. The solution space is a weighted L p space, and agrees ...
An improved laser-schlieren system for measurement of shock-wave velocity
(AIP Publishing, 1974-07)
An improved laser_schlieren system for the measurement of shock_wave velocities has been developed which employs a single detector.Calibration of multiple detectors has been obviated. The system has been shown to yield, ...
On the spectrum of linear transport operator
(AIP Publishing, 1974-11)
In this paper, spectral properties of the time_independent linear transport operator A are studied. This operator is defined in its natural Banach space L 1(D _ V), where D is the bounded space domain and V is the velocity ...
On the solution of nonlinear matrix integral equations in transport theory
(AIP Publishing, 1976-09)
The coupled nonlinear matrix integral equations for the matrices X (z) and Y (z) which factor the dispersion matrix Λ (z) of multigroup transport theory are studied in a Banach space X. By utilizing fixed‐point theorems ...
The relationship between normalization coefficient and dispersion function for the multigroup transport equation
(AIP Publishing, 1976-05)
An explicit formula for the discrete Case normalization coefficient is presented in terms of functions related to the dispersion function. These functions are easily determined and provide the normalization coefficient ...
Scatterings initiated by two coherent beams
(American Physical Society, 1974-04)
A theory, which exhibits the characteristic features of scatterings initiated by two coherent beams, is discussed in the present paper. We show that the imaginary part of the scattering amplitude is an experimentally ...
Generalized optical theorem in coherent scattering
(American Physical Society, 1975-03)
It is shown that the generalized optical theorem in quantum mechanics is a useful theorem in the scattering of two coherent beams.
Analysis of the dispersion function for anisotropic longitudinal plasma waves
(AIP Publishing, 1979-10)
An analysis of the zeros of the dispersion function for longitudinal plasma waves is made. In particular, the plasma equilibriumdistribution function is assumed to have two relative maxima and is not necessarily an even ...