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Hyperspherical coordinate theory of physical processes involving two electron systems

Thesis/Dissertation ·
OSTI ID:5679366

This thesis investigates the two electron systems, H/sup -/ and He, and their interaction with particles and with external fields using an adiabatic approximation in hyperspherical coordinates. The first study concerns the wave functions, energies, and binding energies for the lowest singlet states of H/sup -/ and He in uniform magnetic fields B < 10/sup 9/ G. A coupled expansion in one electron oblate spheroidal angle functions is used in order to treat the angular part of the wave functions. For the radial part of the wave functions, the separable, or adiabatic, approximation is employed. The second study concerns the electron detachment cross section for collisions of 0.5 MeV H/sup -/ projectiles on He targets. The first Born-approximation and the closure approximation are employed assuming that the H atom is left in the 1s state. Electron correlations within the H/sup -/ system are treated in the adiabatic approximation including, for the first time for this problem, angular correlations. The final study concerns the photoionization cross section for H/sup -/ and He using the single channel adiabatic approximation for both the initial and the final state. The cross sections for the processes H/sup -/ + ..gamma.. ..-->.. H(1s) + e/sup -/ and He + ..gamma.. ..-->.. He/sup +/ (1s) + e/sup -/ are calculated using the length formula as well as the acceleration formula.

Research Organization:
Nebraska Univ., Lincoln (USA)
OSTI ID:
5679366
Country of Publication:
United States
Language:
English