TY - JOUR
T1 - Theory of resonance and threshold effects in electron-molecule collisions
T2 - The projection-operator approach
AU - Domcke, W.
N1 - Funding Information:
The author’s work in the field surveyed here has been supported for many years by the Deutsche Forschungsgemeinschaft. Most of the insight has emerged from intensive and very pleasant collabora- tion with Lorenz Cederbaum, Michael Berman, Hernán Estrada, Peter Gertitschke and Claus Mündel, to whom the author would like to express his sincere thanks.
PY - 1991/10
Y1 - 1991/10
N2 - A review is given of the development of the projection-operator formalism of Feshbach towards a comprehensive theory of resonance and threshold effects in electron-molecule collisions. The definition and explicit construction of the appropriate projectors is discussed. The threshold behavior of the singularities of the analytically continued fixed-nuclei electron-molecule scattering matrix is analyzed in order to characterize threshold effects in vibrational excitation by electron impact and dissociative electron attachment. The theory of the dynamics of electron-molecule collision complexes (vibration, dissociation, and autodetachment) is developed, using the methods of time-independent scattering theory as well as a time-dependent wave-packet description. The present stage of development of the theory is illustrated by the review of a few representative applications.
AB - A review is given of the development of the projection-operator formalism of Feshbach towards a comprehensive theory of resonance and threshold effects in electron-molecule collisions. The definition and explicit construction of the appropriate projectors is discussed. The threshold behavior of the singularities of the analytically continued fixed-nuclei electron-molecule scattering matrix is analyzed in order to characterize threshold effects in vibrational excitation by electron impact and dissociative electron attachment. The theory of the dynamics of electron-molecule collision complexes (vibration, dissociation, and autodetachment) is developed, using the methods of time-independent scattering theory as well as a time-dependent wave-packet description. The present stage of development of the theory is illustrated by the review of a few representative applications.
UR - http://www.scopus.com/inward/record.url?scp=4243194482&partnerID=8YFLogxK
U2 - 10.1016/0370-1573(91)90125-6
DO - 10.1016/0370-1573(91)90125-6
M3 - Review article
AN - SCOPUS:4243194482
SN - 0370-1573
VL - 208
SP - 97
EP - 188
JO - Physics Reports
JF - Physics Reports
IS - 2
ER -