Abstract
The momentum representation of the electron wave functions is obtained for the nonrelativistic hydrogenic, the Hartree-Fock-Roothaan, the relativistic hydrogenic, and the relativistic Hartree-Fock-Roothaan models by means of Fourier transformation. All the momentum wave functions are expressed in terms of Gauss-type hypergeometric functions. The electron momentum distributions are calculated by the use of these expressions, and the relativistic effect is demonstrated. The results are applied for calculations of inner-shell ionization cross sections by charged-particle impact in the binary-encounter approximation. The relativistic effect and the wave-function effect on the ionization cross sections are discussed.
Keywords
- Relativistic Momentum Distribution
- Inner-shell Ionization Cross Sections
- Momentum Wave Function
- Charged Particle Impact
- Plane Wave Born Approximation (PWBA)
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Acknowledgments
This work is supported by the Bilateral Joint Research Project between the Japan Society for the Promotion of Science and the Hungarian Academy of Sciences.
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Mukoyama, T. (2012). Electron Momentum Distribution and Atomic Collisions. In: Nishikawa, K., Maruani, J., Brändas, E., Delgado-Barrio, G., Piecuch, P. (eds) Quantum Systems in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5297-9_9
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DOI: https://doi.org/10.1007/978-94-007-5297-9_9
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