Premium
Quasi‐Classical and Classical Cross Sections for the Scattering of Electrons on the Coulomb Cut‐Off Potential
Author(s) -
Mihajlov A. A.,
Dimitrijević M. S.,
Djordjević D.,
Luft M.,
Kraeft W. D.
Publication year - 1987
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19870270102
Subject(s) - electron , scattering , coulomb , physics , elastic scattering , cross section (physics) , range (aeronautics) , electron scattering , atomic physics , quantum , scattering cross section , born approximation , electric potential , quantum mechanics , materials science , voltage , composite material
The elastic scattering of electrons on the cut‐off Coulomb potential U c ( r ) = −1/ r + 1/ r c , for r ≦ r c and U c ( r ) = 0, for r > r c , has been considered. It has been shown that for ε > 0.5/ r c (ε is the energy of free electrons in atomic units) the analytical quasi‐classical expressions describe quite well the behaviour of transport, differential and total cross sections for elastic scattering. It has been shown moreover, that in the energy range considered, transport cross section could be determined with practically the same accuracy already by means of classical, analytical expressions. Born approximations show larger deviations from exact quantum calculations.