Mainz 2026 – scientific programme

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MO: Fachverband Molekülphysik

MO 7: Collisions, Scattering and Correlation Phenomena II (joint session A/MO)

MO 7.1: Talk

Monday, March 2, 2026, 17:00–17:15, N 2

Theory of Electronic Transitions — •Hubert Klar — retired from University Freiburg, Institut für Physik — 79000 Freiburg, Hermann-Herder-Strasse 3

Starting from the Hamilton-Jacobi frame we present a novel parabolic partial difference equation for s-wave electron atom scattering.This equation serves for initial value problems.Thanks to an unexpected separation of coordinates we calculate easily the classical action which we use later to derive a quantum wave function in the semiclassical limit including correlation. There is no way for direct excitation. That lack is filled by a correlated multielectron wave propagation along a potential ridge. The final destination of that wave is a multielectron concentration point, i. e. all correlated electrons arrive near the nucleus. In the special case of single excitation two electrons form a pair comparable to a Cooper pair.These pairs fill a lake whose elements are represented by converging and diverging Fresnel distributions. The concentration point is highly unstable, the decay leads to an excited target state plus an escaping electron.Our results are in conflict with the old Born model for several reasons. (i) We describe the electrons by matrial waves rather by mass-points. (ii) Correlation has been properly takn in account. (iii) The target electron is not kicked up but pulled up due to electron-electron attraction.

Keywords: excitation of atoms by electron scattering; dominant correlation; electron-lectron attraction; multielectron compound states