Abstract

Analytical possibilities of the continued fraction method are demonstrated by solving two problems connected with a description of slow electron resonance scattering by positive molecular ions. Using the rotation adiabatic approximation, exact solutions of the multiquantum vibrational transition problem have been found for the fractional-linear approximation of the vibrational adiabatic K matrix. The equivalence of different formulations of the multichannel quantum defect method has been shown. The existence of autoionization states with anomalously small decay widths has been established. The role of simultaneous rotational-vibrational transitions in molecular Rydberg spectra and autoionization is analyzed.

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