Calculation of the Vibrational Excitation Cross Sections for H2, HD, and D2 Molecules in Collisions with Slow Electrons within the Framework of Nonstationary Nonlocal Theory

摘要

A new method is proposed to calculate the cross sections of a resonance vibrational excitation of molecules in terms of the most general nonlocal method of describing such collisions. The method implies the introduction of resonant pseudostates into an electronic continuum, which provide the quantization of this continuum. It is significant that these states are constructed using the regular procedure. The cross section calculation for vibrational transitions is carried out in terms of the method of the split-time evolution of wave packets. An essential feature of this approach, which determines its importance in the theory of the processes studied, is that the proposed analysis implies the Markovian treatment of the system. This radically reduces requirements on the computer and allows one to apply the method in describing collisions of electrons with polyatomic molecules. Results of application of the algorithm to calculate processes involving isotopomers of a hydrogen molecule are presented. Our results are in excellent agreement with results of previous calculations.