超球座標による水素様イオンと2電子の同時衝突

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Abstract The excitations of ions in plasmas are mainly caused by the electron impact. When plasma density is low, this process described well by the isolated scattering of electrons. As the density increases, simultaneous scattering of many electrons becomes important. In the present study, we formulate the excitation of the 1s - 2s transition for hydrogenic ions by the simultaneous two-electron scattering in terms of hyperspherical coordinates. We derived analytical formulas with respect to the matrix elements in the first Born approximation, and compare with the numerical integrations. In the hyper-spherical coordinates, we can treat the problem of simultaneous multi-body scattering as a problem of one-body potential-scattering in the multi-dimensional space. We use unperturbed wave functions for the target electron.
宮崎大学の論文