ELECTRON – HYDROGEN ATOM SCATTERING IN BORN APPROXIMATION

1960 ◽  
Vol 38 (12) ◽  
pp. 1654-1660 ◽  
Author(s):  
Ta-You Wu
Keyword(s):  
Hydrogen Atom ◽  
Cross Sections ◽  
Born Approximation ◽  
Matrix Elements ◽  
Total Cross Sections ◽  
Scattering Cross ◽  
Atom Scattering ◽  
The Matrix ◽  
Scattering Cross Sections

The elastic (1s–1s) and the inelastic (1s–2s, 1s–2p) scattering cross sections in the Born approximation at energies of 1, 4, 9, 16 rydbergs have been calculated exactly from the closed formulas of the matrix elements for these transitions. Both the differential and the total cross sections are given here.

Photoelectric cross sections derived from the total absorption cross sections in the energy range 5–130 keV

1979 ◽  
Vol 57 (1) ◽  
pp. 92-98 ◽  
Author(s):  
K. S. Puttaswamy ◽  
Ramakrishna Gowda ◽  
B. Sanjeevaiah
Keyword(s):  
Energy Range ◽  
Cross Sections ◽  
Proportional Counter ◽  
Atomic Data ◽  
Total Absorption ◽  
Absorption Cross ◽  
Total Cross Sections ◽  
Scattering Cross ◽  
Data Tables ◽  
Scattering Cross Sections

Total absorption cross sections in the elements C, Al, S, Cu, Zr, Ag, Sn, Ta, Au, and Pb for photons of energies 5.0, 5.9, 6.4, 8.1, 10.6, 14.4, 24.7, 32.9, 36.9, 66.6, and 129 keV are measured using a krypton-filled proportional counter in the energy range 5 to 25 keV and a thin NaI(Tl) detector in the energy range 30 to 130 keV. The measured total absorption cross sections are compared with those of Miller and Greening and McCrary, Plassman, Paekett, Conner, and Zimmermann. The scattering cross sections obtained by interpolation using the Atomic Data Tables are subtracted from the total cross sections to obtain the photoelectric cross sections and these are further compared with the recent theoretical values of Scofield.

scholarly journals Semi-classical bounds on scattering cross sections in two dimensional magnetic fields

1997 ◽  
Vol 147 ◽  
pp. 25-61
Author(s):  
Hideo Tamura
Keyword(s):  
Magnetic Fields ◽  
Energy Range ◽  
Cross Sections ◽  
Classical Limit ◽  
Uniform Boundedness ◽  
Classical Dynamics ◽  
Two Dimensional ◽  
Total Cross Sections ◽  
Scattering Cross ◽  
Scattering Cross Sections

AbstractWe prove the uniform boundedness of averaged total cross sections or of quantities related to scattering into cones in the semi-classical limit for scattering by two dimensional magnetic fields. We do not necessarily assume that the energy under consideration is in a non-trapping energy range in the sense of classical dynamics.

Metastable hydrogen atom scattering by crossed molecular beams: Total cross-sections for H(2s)–Kr, O2 and Cl2 at thermal energies

1998 ◽  
Vol 290 (1-3) ◽  
pp. 17-23 ◽  
Author(s):  
Brunetto G. Brunetti ◽  
Pietro Candori ◽  
Jaime De Andres ◽  
Stefano Falcinelli ◽  
Marta Stramaccia ◽  
...  
Keyword(s):  
Hydrogen Atom ◽  
Cross Sections ◽  
Molecular Beams ◽  
Total Cross Sections ◽  
Atom Scattering ◽  
Crossed Molecular Beams

scholarly journals Mott-Schwinger Effect in the Elastic Scattering of Neutrons from 209Bi

1994 ◽  
Vol 47 (6) ◽  
pp. 681 ◽  
Author(s):  
N Alexander ◽  
K Amos ◽  
L Berge
Keyword(s):  
Elastic Scattering ◽  
Electric Field ◽  
Cross Sections ◽  
Magnetic Moment ◽  
Born Approximation ◽  
Exact Results ◽  
Specific Solution ◽  
Scattering Cross ◽  
The Past ◽  
Scattering Cross Sections

The Mott-Schwinger potential arising from the interaction of the magnetic moment of a neutron incident upon an electric field (of 209Bi) is found to have a profound effect upon the elastic scattering cross sections and polarisations at 0�5, 14�5 and 24 MeV. These effects are evaluated by specific solution of the relevant Schrodinger equations (for 100 partial waves) and with the Born approximation used to define the influence upon all higher ones. These 'exact' results agree with the estimations made under approximation in the past, but not Schr6dinger 100 with 'exact' results calculated by a different method.

SEMI-CLASSICAL ANALYSIS FOR TOTAL CROSS-SECTIONS OF MAGNETIC SCHRÖDINGER OPERATORS IN TWO DIMENSIONS

1995 ◽  
Vol 07 (03) ◽  
pp. 443-480 ◽  
Author(s):  
HIDEO TAMURA
Keyword(s):  
Cross Sections ◽  
Classical Limit ◽  
Schrödinger Operators ◽  
Two Dimensions ◽  
Schrodinger Operators ◽  
Classical Analysis ◽  
Total Cross Sections ◽  
Total Scattering ◽  
Scattering Cross ◽  
Scattering Cross Sections

We define total scattering cross-sections for magnetic Schrödinger operators in two dimensions and prove the shadow scattering (the quantum total cross-sections double the classical ones in the semi-classical limit) under some assumptions.

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