XVIth International Workshop on
Quantum Systems in
Chemistry and Physics
QSCP logo Abstract
 Main | Registration | Abstract Submission | List of Registrants | List of Abstracts | Program 
Accommodation | Location and Access | Previous Workshops | ISTCP-VII | Photos
Oral presentations only. Posters only. Show all.

Electron momentum distribution and atomic collisions
Takeshi Mukoyama
Institute of Nuclear Research of the Hungarian Academy of Sciences (ATOMKI), Debrecen, H-4001 Hungary
In quantum chemistry, the state of a physical system is usually described by a wave function in the position space. However, it is also well known that a wave function in the momentum space can provide complementary information for electronic structure of atoms or molecules. The momentum-space wave function is especially useful to analyze the experimental results of scattering problems, such as Compton profiles and ( e, 2 e) measurements. In the present work, we focus on the inner-shell ionization processes of atoms by charged-particle impact and study how the electron momentum distribution affects on the inner-shell ionization cross sections.

The momentum wave functions in various atomic models are calculated for arbitrary atomic orbitals. The nonrelativistic hydrogenic, the Hartree-Fock, the relativistic hydrogenic and the Dirac-Fock models are considered. The momentum wave functions are obtained as a Fourier transform of the wave functions in the position space. The Hartree-Fock and the Dirac-Fock wave functions in atoms are given in terms of Slater-type orbitals (STO's) and all the wave functions in the momentum space can be expressed analytically in terms of hypergeometric functions.

The momentum wave functions thus obtained are used to calculate inner-shell ionization cross sections by charged-particle impact in the binary-encounter approximation (BEA). The wave-function effect and the electronic relativistic effect on the inner-shell ionization processes are discussed.


 Main | Registration | Abstract Submission | List of Registrants | List of Abstracts | Program 
Accommodation | Location and Access | Previous Workshops | ISTCP-VII | Photos