The solutions of the phase equation for a potential with the asymptotic properties of an atomic polarization potential are studied with the intention of developing a computer program for direct integration of the phase equation for the s-wave phase shift of an arbitrary potential. Such a program is developed and its limitations are discussed. In addition, an appendix is devoted to the variational principles of Kohn and Schwinger for calculating phase shifts.

Topics: Physics, Phase Equation, Potential Scattering

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5.0

Jan 25, 2022
01/22

by
Nussenzveig, H. M. (Herch Moyses)

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xii, 435 p. 24 cm

Topics: Dispersion relations, Causality (Physics), Potential scattering

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Jun 17, 2021
06/21

by
Zakharʹev, B. N. (Boris Nikolaevich)

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xiii, 223 p. : 24 cm

Topics: Scattering (Physics), Potential scattering, Inverse problems (Differential equations), Quantum...

An expression is derived for the probability of creating or annihilating one long-wavelength surface or bulk phonon during a scattering event, which depends on the bulk elastic constants but is independent of the details of the atom-target potential and of force constant changes near the surface. This expression is exact if the inelastic scattering is 'weak' (the meaning of which is explained in the text). This theory should be experimentally verifiable, e.g. for 20 meV He atoms scattered from...

Topics: DTIC Archive, Flatte, Michael E, CALIFORNIA UNIV SANTA BARBARA DEPT OF PHYSICS, *NUCLEAR PHYSICS,...

The behavior of scattering cross sections near an excitation threshold is examined for the case of long range potentials. The theory is confirmed by computations of e-Li scattering. Recent observations of threshold structure in e-Na collisions are ascribed to a singlet D resonance of Na(-). A true cusp can occur only in the singlet P partial cross section.

Topics: DTIC Archive, Bardsley, James N, PITTSBURGH UNIV PA DEPT OF PHYSICS, *ELECTRONS, DIFFERENTIAL CROSS...

The smoothing method is used to find the first two moments, i.e., the mean and the two-point two-time correlation function, of the field scattered by a rough surface. The results are expressed in terms of a reflection coefficient and a differential scattering coefficient. They are compared with those found by several other methods. (Author)

Topics: DTIC Archive, Watson,J G, STANFORD UNIV CA, *Acoustic waves, *Surface roughness, *Acoustic...

This report summarizes progress made in various numerical experiments made on one-dimensional model inverse problems. (Author)

Topics: DTIC Archive, Morawetz,Cathleen S, NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES,...

A simple, general method is given for calculating the inverse operator of the product of two spherical (or cylindrical) Bessel functions, as needed for input into an integral expression to determine atmospheric potential from signal phase shift.

Topics: DTIC Archive, Sollfrey, William, RAND CORP SANTA MONICA CA, *ELECTROMAGNETIC RADIATION, *BESSEL...

The report gives summaries of research on the following subjects: Radiation transfer and charge particle transport in gases; Ionization kinetics and reaction rates; Electron energy losses and atomic interaction theory; Electron-atom collisions; and Radiation processes.

Topics: DTIC Archive, Smith, S J, JOINT INST FOR LAB ASTROPHYSICS BOULDER CO, *ELECTRON IRRADIATION,...

A technique is presented to statistically characterize rough terrain surfaces. The approach is described in terms of a specific example but in principle is quite general and can be adapted to fit any number of situations. The starting point is the use of observed surface height data to generate statistical parameters for probability density functions (PDF) that potentially characterize the data. This involves the use of parameter estimation techniques. The estimated parameters are then used in...

Topics: DTIC Archive, Lennon, John F., ROME AIR DEVELOPMENT CENTER GRIFFISS AFB NY, *ELECTROMAGNETIC...

A search of the literature was made for the period from 1920 through June 1972, to obtain experimental x-ray cross sections for the elements in the energy range from 0.1 keV to 1 MeV. Total attenuation and photoelectric absorption data were evaluated and found not to be at variance with values reported in the compilation in the Final Report of this study. New experimental scattering data, along with earlier compiled experimental scattering data, were compared with theoretical values used in the...

Topics: DTIC Archive, Briggs, Edith A, KAMAN SCIENCES CORP COLORADO SPRINGS CO, *X RAYS, ELECTRONS, X RAY...

It is shown that Levinsons' theorem in static potential scattering can be generalized to a particle dynamically interacting with one-dimensional matter systems (liquids or solids). A restriction on a particle matter interaction is that it decays faster than an inverse quadratic of the particle matter separation. Keywords: LEVINSON'S THEOREM; GENERALIZATION; PARTICLE MATTER INTERACTIONS; LIQUIDS; SOLIDS; ONE DIMENSION.

Topics: DTIC Archive, Chung,Sung G, STATE UNIV OF NEW YORK AT BUFFALO DEPT OF CHEMISTRY, *CONTINUUM...

The inverse scattering problem is solved within the distorted wave Born approximation (DWBA) using a generalized time reversal based formulation. The theory is applicable to arbitrary (non-point) N(sub alpha) element transmitter arrays and N(sub beta) element receiver arrays and to scattering systems characterized by scattering potentials interrogated in a set of scattering experiments employing single or multiple temporal frequencies. The inversion scheme generates a pseudo-inverse...

Topics: DTIC Archive, Devaney, Anthony J, DEVANEY (AJ) ASSOCIATES HARVARD MA, *IMAGE PROCESSING, *ARRAYS,...

During the winter of 1977/78 RADC conducted a measurement program on the backscatter, bistatic scatter, and attenuation properties of metamorphic snow at millimeter wavelengths. After going through an aging process, snow cover on the ground develops sufficient internal strength so that slabs can be cut from it and removed for measurement. Low-power CW equipment was designed and constructed to conduct scatter and attenuation measurements on snow slabs at frequencies of 35, 98, and 140 GHz at...

Topics: DTIC Archive, Lammers,Uve H W, ROME AIR DEVELOPMENT CENTER GRIFFISS AFB NY, *Millimeter waves,...

The report summarizes research performed at the Pittsburgh Atmospheric Sciences Institute on atomic and molecular physics related to atmospheric sciences. It covers research from May thru October 1971.

Topics: DTIC Archive, Biondi, M A, PITTSBURGH UNIV PA, *GASES, CARBON DIOXIDE, EMISSIVITY, HYDROGEN,...

The report summarizes research on the following: Modeling of ionized gas systems; Stability of discharges in weakly ionized gases; Scattering and transport of resonance radiation; Radiation hydrodynamics; Plasma statistics; Transport coefficients and reaction rates; Electron transport and ionization coefficients; JILA information analysis center; Electron transport in mercury vapor; Negative ion kinetics; Atomic and radiation interaction theory; and Alkali-inert gas line broadening and...

Topics: DTIC Archive, Phelps, A V, JOINT INST FOR LAB ASTROPHYSICS BOULDER CO, *GAS IONIZATION,...

Electrokinetic streaming potentials were measured in typical geological materials using specially constructed apparatus to model water flow through subsurface flow paths. The apparatus used for the study is described by this report as are the measurement techniques used. Comparisons between the observed electrokinesis phenomena and theoretical predictions are made. Conclusions resulting from this study include: Studies of streaming potentials in typical geological materials should be...

Topics: DTIC Archive, Warriner,James B, ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS...

We investigate acoustic deformation potential scattering in A1xGa1- XAs/GaAs modulation doped heterojunctions. We review previous measurements of the deformation potential constant Z and discuss the controversy over the discrepancy between the measured value of Z in bulk GaAs and in the heterojunction. By comparing the theory of scattering in bulk GaAs with previously reported measurements of the mobility at 77K we determine an upper limit for the deformation potential constant of 11 eV. We...

Topics: DTIC Archive, Manion, Stephen J, ILLINOIS UNIV AT URBANA COLL OF ENGINEERING, *GALLIUM ARSENIDES,...

It is well known that acoustic energy that is trapped in the ocean's SOFAR channel can propagate for thousands of kilometers with little attenuation. When this energy encounters bathymetric features that intersect the SOFAR channel (e.g. islands, seamounts, and continental margins), it can be scattered and reflected back into the ocean. Historical data from many underwater explosions show large reflections arriving at receivers tens of minutes or hours after the direct arrival. If the sources...

Topics: DTIC Archive, BBN TECHNOLOGIES ARLINGTON VA, *MATHEMATICAL MODELS, *ATLANTIC OCEAN, *UNDERWATER...

Contents: Configuration space Hamiltonian for Heavy Atoms; Laser-Atom Interactions; Electron-Atom Scattering in the presence of a laser field, for resonant laser frequency and for low laser frequency; Resonance Fluorescence; and Statistical Model of Atom-Atom Scattering.

Topics: DTIC Archive, Mittleman,Marvin H, CITY COLL NEW YORK, *RESONANCE SCATTERING, *LASER BEAMS, *ATOMIC...

The report gives brief summaries of research on the following TOPICS: Modeling of ionized gas systems; Transport coefficients and reaction rates; Energy loss and radiation production by electron collisions; and Generation and absorption of radiation.

Topics: DTIC Archive, Phelps, A V, JOINT INST FOR LAB ASTROPHYSICS BOULDER CO, *GAS IONIZATION, *POTENTIAL...

Acoustic phonon-limited conductivity and Hall mobilities for p-type silicon and germanium have been calculated from solutions of the full Boltzmann equation without the relaxation time approximation. These quantities have been measured as well for p-type silicon in the temperature range 20-50K. Using the deformation potential scattering theory of Tiersten we obtain the necessary hole-acoustic phonon transition rates, with no adjustable parameters, as a first principles input to the transport...

Topics: DTIC Archive, Szmulowicz,Frank, DAYTON UNIV OH RESEARCH INST, *P type semiconductors, *Hall effect,...

Samples of sand, kaolin, bentonite, and loam were frozen from the top downward in cylinders 10 to 12 cm high and 7 cm in diameter. During the freezing process electrical potentials of up to 300 mV were measured between platinum electrodes placed near the ends of the samples. The mechanism that gives rise to these potentials and the effect of soil type and fineness, moisture content, and moisture migration are discussed. (Author)

Topics: DTIC Archive, Yarkin,I G, COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH, *SOILS,...

This document describes research mainly in the area of laser modified atomic physics with additional work on relativistic effects in heavy atoms.

Topics: DTIC Archive, Mittleman,M H, CITY COLL NEW YORK DEPT OF PHYSICS, *Atoms, *Physics, *Laser...

The laboratory's research is reviewed. The topics include: Radiation transfer and charge particle transport in gases; Ionization kinetics and reaction rates; Electron energy losses and atomic interaction theory; Electron-atom collisions; Radiation processes.

Topics: DTIC Archive, Smith, S J, JOINT INST FOR LAB ASTROPHYSICS BOULDER CO, *GAS IONIZATION, *POTENTIAL...

This program calculates, and provides CalComp plots of, the CDC 3800 Computer, phase shifts in radians or degrees for quantum-mechanical scattering from a 3-dimensional spherically symmetrical square well potential of width a and depth -V, for a de Broglie quantum particle of energy E. The program, which can plot in two or three dimensional representations, calculates the first five phase shifts, and permits the determination of the number of bound states the well will support for each phase...

Topics: DTIC Archive, Repace, James L., NAVAL RESEARCH LAB WASHINGTON DC, *QUANTUM THEORY, *FORTRAN, *PHASE...

The energy distribution of electrons contributing to the L-shell Auger electron appearance potential spectrum of a polycrystalline titanium surface has been measured. The Auger electron appearance potential spectrum is obtained by differentiating the total secondary electron yield of an electron bombarded sample as a function of incident electron energy. At the threshold for scattering from a core level the secondary yield increases. Most of the electrons contributing to this increase have...

Topics: DTIC Archive, DEN Boer,Marten, MARYLAND UNIV COLLEGE PARK DEPT OF PHYSICS AND ASTRONOMY, *SURFACE...

A mathematically rigorous theory of the inelastic scattering of a heavy particle by a harmonic oscillator is presented. The model has implications for atom surface scattering and chemical reactions. Keywords: Inelastic Transition Amplitude; Near Adiabatic Limit; WKB Solutions; Complex Transition Points; Jost Functions.

Topics: DTIC Archive, Chang,Lit-Deh, CALIFORNIA UNIV SANTA BARBARA DEPT OF PHYSICS, *REACTION KINETICS,...

Contents: Plasma spectroscopy; Scattering and transport of resonance radiation; Radiation transfer; Plasma statistics; Ionization kinetic and reaction rates; Atomic collisions information analysis center; Electron energy losses and atomic interaction theory; Atomic interaction theory; Electron-atom collisions; Electron-ion recombination; Electron collisions with metastable atoms; Electron impact excitation of hydrogen; Electron-alkali atom scattering; Collisional relaxation mechanisms;...

Topics: DTIC Archive, Smith, S J, JOINT INST FOR LAB ASTROPHYSICS BOULDER CO, *ASTROPHYSICS, *ATOMIC...

The paper presents a distorted wave generalization of the S-matrix version of the Kohn variational principal developed by Zhang, Chu, and Miller J. Chem. Phys. 88, 10 (1988). For scattering in the presence of a long range interaction, the large-r asymptotic solution to the Schrodinger equation is built into the Kohn variational principal order by order in an effort to accelerate convergence of the short-range square integrable part of the basis set expansion. The improvement in the rate of...

Topics: DTIC Archive, Forrey, Robert C., PHILLIPS LAB HANSCOM AFB MA, *SCHRODINGER EQUATION, *VARIATIONAL...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

An investigation of the stress-dependence of the indirect absorption edge in semiconductors such as Si can yield information concerning the relative contributions of the phonon-assisted electron and hole scattering mechanisms to the absorption mechanism. Once the relative coefficients are known a fit to the absorption coefficient can be made in order to determine the absolute values for electron-phonon and hole-phonon deformation potentials. It has been demonstrated that in the case of Si these...

Topics: DTIC Archive, Pollak, F H, BELFER GRADUATE SCHOOL OF SCIENCE NEW YORK MAXWELL R MAYBAUM INST FOR...

In an effort to develop a more efficient time dependent approach for calculating scattering matrix elements, absorbing boundary conditions are combined together with the channel packet method. As an introduction to scattering, scattering matrix elements are presented for a one-dimensional square well and a one-dimensional potential consisting of a Gaussian well with symmetric Gaussian barriers. Next, the combination of the channel packet method together with absorbing boundary conditions yields...

Topics: DTIC Archive, Calfas, Roy S., AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH DEPT OF ENGINEERING...