Abstract
Probability amplitudes of a molecular-autoionization process are obtained by a non-perturbative treatment. The Doppler effect due to the motion of the quasi-molecule is investigated, and it is expressed in terms of a deformation of an energy-difference between the states before and after the autoionization. A model case is investigated in which the energy-difference is written by a Morse-potential function. Analytical formulae are obtained for the shapes of the ejected electron spectra.