A number of physical processes, such as autoionization, predissociatio
n, ac- or dc-field-induced ionization, multiphoton dissociation, or ch
emical transformations, can be formulated as problems involving a nons
tationary state satisfying a time-independent complex eigenvalue Schro
dinger equation (CESE). The CESE gives rise to all the conceptual and
practical difficulties associated with the polyelectronic structures o
f excited states, as well as novel ones due to the presence of externa
l fields and to the physical significance of the continuous spectrum.
In a series of articles from this institute, it has been shown how adv
anced electronic structure theory and methods suitable for excited sta
tes can be integrated in a practical way into selected elements of the
rigorous theory of discrete states interacting with the continuous sp
ectrum in order to solve the CESE nonperturbatively and efficiently an
d compute properties such as positions and widths of inner hole or mul
tiply excited states, multiphoton ionization rates, multichannel predi
ssociation lifetimes, nonlinear static and frequency-dependent polariz
abilities, and tunneling rates. The present article constitutes a revi
ew of the basic features of this theory and its computational methods.
(C) 1994 John Wiley & Sons, Inc.