Browsing Scholarly Works, Department of Physics by Issue Date
Now showing items 120 of 788

Scatterings initiated by two coherent beams
(American Physical Society, 197404)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 ... 
Spheroidal analysis of Coulomb scattering
(AIP Publishing, 197405)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 ... 
Dynamic nuclear polarization in samariumdoped lanthanum magnesium nitrate
(American Physical Society, 197408)We report theoretical and experimental investigations of the dynamic nuclear polarization (DNP) and nuclear spinlattice relaxation of protons in single crystals of lanthanum magnesium nitrate (LMN) weakly doped (≅0.11.1mole%) ... 
Scattering of two coherent beams by multiple centers
(American Physical Society, 197409)This is a continuation in the theoretical study of scattering initiated by two coherent beams. Here the scattering by multiple independent centers is discussed. The presence of these centers involves some problems, which ... 
On the spectrum of linear transport operator
(AIP Publishing, 197411)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 ... 
Generalized optical theorem in coherent scattering
(American Physical Society, 197503)It is shown that the generalized optical theorem in quantum mechanics is a useful theorem in the scattering of two coherent beams. 
Extension of Case formulas to L_{p}. Application to half and full space problems
(AIP Publishing, 197505)The singular eigenfunction expansions originally applied by Case to solutions of the transport equation are extended from the space of Hölder‐continuous functions to the function spaces X p = {f‖μf (μ) ‐ L p }, where the ... 
Crystal scattering of two coherent neutron beams
(American Physical Society, 197510)The crystal scattering of two coherent neutron beams is discussed. It is found that the conventional pair correlation function used in singlebeam scattering is insufficient to describe the scattering of two coherent neutron ... 
Multigroup neutron transport. II. Half range
(AIP Publishing, 197601)This paper accompanies a preceding one in which a functional analytic method was used to obtain the full_range expansion in multigoup neutron transport. In the present paper the analysis is extended to obtain the half_range ... 
Multigroup neutron transport. I. Full range
(AIP Publishing, 197601)A functional analytic approach to the N_group, isotropic scattering, particle transport problem is presented. A full_range eigenfunction expansion is found in a particularly compact way, and the stage is set for the ... 
Waterpollution monitoring using matched spatial filters
(Optical Society of America, 197602)Presented are some results obtained from the application of matched spatial filtering techniques to the identification of biological specimens called diatoms (i.e., water algae). A prototype semiautomatic optical processor ... 
The relationship between normalization coefficient and dispersion function for the multigroup transport equation
(AIP Publishing, 197605)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 ... 
Dynamic nuclear polarization with an inhomogeneously broadened ESR line. II. Experiment
(American Physical Society, 197605)Results of proton dynamic nuclear polarization (DNP), nuclear spinlattice relaxation, and ESR experiments in six YES: Er168 (Er168doped yttrium ethyl sulphate) single crystals at 4.15 K and 9.1 GHz are reported here. ... 
Dynamic nuclear polarization with an inhomogeneously broadened ESR line. I. Theory
(American Physical Society, 197605)Theoretical investigations of the dynamic nuclear polarization (DNP) and the nuclear spinlattice relaxation time Tn in diamagnetic dielectric crystals diluted with electron paramagnetic impurities are reported here. The ... 
On the solution of nonlinear matrix integral equations in transport theory
(AIP Publishing, 197609)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 ... 
Direct phase determination in crystallography
(American Physical Society, 197612)It was shown theoretically that through the diffraction of two coherent beams, one is able to measure both the magnitude and phase of the structure factor directly. Here some experimental comments concerning the performance ... 
Vlasov theory of plasma oscillations: linearapproximation
(AIP Publishing, 1977)A functional analytic approach to the linearized collisionless Vlasov equation is presented utilizing a resolvent integration technique on the resolvent of the transport operator evaluated at a particular point. Formulae ... 
Conservative neutrontransport theory
(AIP Publishing, 197702)A functional analytic development of the Case full_range and half_range expansions for the neutron transport equation for a conservative medium is presented. A technique suggested by Larsen is used to overcome the difficulties ... 
Universality in the percolation problem—Anomalous dimensions of φ4 operators
(American Physical Society, 197705)We consider critical systems, such as the percolation problem, whose symmetry permits an invariant interaction of third order in the fluctuating fields φ. In the renormalizationgroup approach one is naturally led to look ... 
Dopplerfree twophoton absorption of two coherent beams
(American Physical Society, 197712)Proposed and performed experiments on the Dopplerfree twophoton absorption of two coherent laser beams are discussed. The coherent phenomenon in experiments follows directly from basic quantum mechanics. It is shown that, ...